Lattice 89

Name: Lattice 89 | Proceedings of the 1989 Symposium on Lattice Field Theory
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Proceedings of the 1989 Symposium on Lattice Field Theory

N. Cabbibo E. Marinari G. Parisi(Editor)

Elsevier (Publisher)

Published on 3. June 2016

788 pages

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Front Cover
Lattice 89
Copyright Page
Table of Contents
Preface
International Advisory Committee
Local Organizing Committee
Sponsored by
Part 1: Plenary Talks
CHAPTER 1. STANDARD MODEL AND CHIRAL GAUGE THEORIES ON THE LATTICE
INTRODUCTION
WILSON'S FERMION METHOD IN QCD
MINIMAL FORMULATION OF THE STANDARD MODEL
GOLTERMAN-PETCHER SYMMETRY
NON-MINIMAL STANDARD MODELS
A MINIMAL SO(10) MODEL
GAUGE DEGREES OF FREEDOM=HIGGS FIELD
AVOIDING NON-PERTURBATIVE YUKAWA COUPLINGS
FERMION-HIGGS SYSTEM
SIMULATIONS O F CHIRAL FERMION-HIGGS SYSTEMS
CONCLUSIONS
REFERENCES
CHAPTER 2. LATTICE HIGGS AND YUKAWA MODELS
1. INTRODUCTION
2. HIGGS BOUND
3. YUKAWA MODELS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 3. NON PERTURBATIVE QUANTUM GRAVITY
1. Continuum formulation
2. Discrete formulations
3. The problem of the measure
4. Numerical simulations for lattice gravity
5. Conclusions
Acknowledgements
References
CHAPTER 4. THE HUBBARD MODEL AND ALL THAT
1. INTRODUCTION
2. ALGORITHMS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 5. RANDOM SURFACES: SOME RECENT ADVANCES
1. INTRODUCTION
2. RANDOM LATTICES. 2 D GRAVITY AND CONFORMAL FIELD THEORIES
3. EXTRINSIC CURVATURE AND CRUMPLING TRANSITIONS
4. CRUMPLING AND BUCKLING OF "TETHERED SURFACES
5. ENTROPIC FORCES AND UNBINDING TRANSITIONS
6. SELF-AVOIDING SURFACES AS A GAUGE THEORY
7. CONCLUSIONS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 6. PURE GAUGE: GLUEBALLS, POTENTIALS AND THE VACUUM
1. INTRODUCTION
2. HADRONIC STRINGS?
3. GLUEBALL SPECTRUM
4. FINITE VOLUME RESULTS
5. GLUEBALL DECAY
6. GLUEBALL SIZE AND WAVEFUNCTION
7. SHAPE OF HADRONIC STRING
8. SCALING?
9. THE VACUUM
10. CONCLUSIONS
REFERENCES
CHAPTER 7. HADRON SPECTRUM FROM THE LATTICE
INTRODUCTION
1. Quenched Spectrum
2. Desideratum
3. Comparison of Wilson and staggered data
4. Simulations with Dynamical fermions
5. Technical issues that still haunt us
6. Conclusions
Acknowledgements
References
CHAPTER 8. AB INITIO QUANTUM CHEMISTRY: A SOURCE OF IDEAS FOR LATTICE GAUGE THEORISTS
1. INTRODUCTION
REFERENCES
CHAPTER 9. CRITICAL SLOWING DOWN
1. INTRODUCTION
2. OVERRELAXATION
3. MULTIGRID
4. PERCOLATION CLUSTER ALGORITHMS
Acknowledgements
REFERENCES
CHAPTER 10. CRITIQUE OF PRACTICAL METHODS FOR COMPUTER EVALUATION OF THE HADRON SPECTRUM
1. INTRODUCTION
2. ALGORITHMS FOR QUARK PROPAGATORS
3. SIMULATION ALGORITHMS: CORRELATION TIMES
4. SIMULATION ALGORITHMS: DEPENDENCE OF THE STEP SIZE ON V, a, and mq
5. PSEUDOFERMIONS
6. CONCLUSIONS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 11. QCD PHASE TRANSITIONS AT FINITE TEMPERATURES
1. INTRODUCTION
2. PURE GAUGE THEORY AND RELATED 3-DIMENSIONAL SPIN MODELS
3. FULL QCD-KOGUT-SUSSKIND FERMION
4. OTHER DEVELOPMENTS
5. CONCLUSION
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 12. DEDICATED COMPUTERS FOR LGT
1. INTRODUCTION
2. COMMON FEATURES OF LGT ENGINES
3. FIRST GENERATION LGT ENGINES
4. SECOND GENERATION LGT ENGINES
5. CONCLUSIONS
ACKNOLEDGEMENTS
REFERENCES
CHAPTER 13. LATTICE CALCULATIONS OF ELECTROWEAK DECAY AMPLITUDES
1. INTRODUCTION and OVERVIEW
2. NUCLEON MATRIX ELEMENTS
3. Heavy-Light mesons
4. Kaon decay and mixing amplitudes
5. Future directions
ACKNOWLEDGMENTS
REFERENCES
Part 2: Phase Transitions
CHAPTER 14. RENORMALIZATION GROUP STUDY OF THE THREE STATE THREE DIMENSIONAL POTTS MODEL
1. INTRODUCTION
2. THE POTTS MODEL
3. THE FSRSRG TECHNIQUE
4. SIMULATIONS AND RESULTS
REFERENCES
CHAPTER 15. TRYING TO UNDERSTAND THE QCD PHASE TRANSITION(S)
1. MOTIVATION
2. THREE MECHANISMS-OR ONE?
3. AN ONGOING EXPERIMENT
4. DISCUSSION
ACKNOWLEDGMENTS
REFERENCES
CHAPTER 16. FINITE SIZE SCALING AND THE QCD HIGH TEMPERATURE PHASE TRANSITION
1. INTRODUCTION
2. TWO FLAVOR RESULTS
3. FOUR FLAVOR RESULTS
4. PURE GLUON THEORY RESULTS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 17. FULL QCD THERMODYNAMICS ON THE COLUMBIA 64-NODE PARALLEL SUPERCOMPUTER
1. INTRODUCTION
2. HARDWARE
3. SOFTWARE IMPLEMENTATION
4. TESTING THE CODE
5. DISCUSSION
ACKNOWLEDGEMENT
REFERENCES
CHAPTER 18. EFFECTIVE Z{3) DESCRIPTION OF THE SU(3) DECONFINING PHASE TRANSITION
1. INTRODUCTION
2. FINITE-SIZE BEHAVIOR OF THE THREE-STATE POTTS MODEL
3. EFFECTIVE Z(3) ACTION
4. CONCLUSION
REFERENCES
CHAPTER 19. INTERFACE TENSION AT Tc IN HOT GLUON MATTER
1. INTRODUCTION
2. LATTICE THERMODYNAMICS
3. OPERATORS
4. IMPLEMENTATION
REFERENCES
CHAPTER 20. Magnetic Configurations in SU(3) Lattice Near Deconfining Transition- Charge and fermionic zeromode in cooling stage
1. Magnetic configurations in cooling stage
2. Magnetic charge and field
3. Fermionic zero mode
4. Summary and discussion
References
CHAPTER 21. CORRELATION LENGTH FINITE SIZE SCALING INVESTIGATIONS
1. INTRODUCTION
2. ISING AND POTTS MODELS
3. SU(2) AND SU(3) PURE GAUGE THEORY
4. SUMMARY
5. ACKNOWLEDGMENTS
6. REFERENCES
CHAPTER 22. A 3-DIMENSIONAL Z3 SYMMETRIC MODEL: CORRELATION LENGTHS AT A FIRST ORDER PHASE TRANSITION
1. INTRODUCTION
2. THERMODYNAMICS
3. CORRELATION FUNCTIONS
4. CONCLUSIONS
REFERENCES
CHAPTER 23. THE ISSUE OF THE ORDER OF THE DECONFINING PHASE TRANSITION IN SU(3) LATTICE GAUGE THEORY
1. INTRODUCTION
2. FINITE-SIZE SCALING OF SUSCEPTIBILITIES FOR THE PURE SU(3) GAUGE THEORY
3. FINITE-SIZE BEHAVIOUR OF THE MASS GAP
4. ATTEMPT FOR FULL QCD
5. CONCLUSION
References
CHAPTER 24. HYBRID MONTE CARLO SIMULATION OF FOUR FLAVOUR QCD AT FINITE TEMPERATURE
1. INTRODUCTION
2. ALGORITHM
3. RESULTS FOR mq/T = 0.2
4. DISCUSSION
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 25. FIRST-ORDER NATURE OF PURE GAUGE SU(3) DECONFINEMENT
REFERENCES
CHAPTER 26. THE APE WITH A SMALL JUMP
1. ON THE ORDER OF PHASE TRANSITIONS
2. ANALYSIS OF NUMERICAL RESULTS
3. CONCLUSIONS
REFERENCES
CHAPTER 27. THE SURFACE TENSION IN QCD AT FINITE TEMPERATURE
1. INTRODUCTION
2. THE INTEGRAL APPROACH
3. APPLICATION TO QUENCHED QCD
4. 2- and 3-DIMENSIONAL ISING MODEL
5. CONCLUDING REMARKS
ACKNOWLEDGEMENTS
BIBLIOGRAPHY
CHAPTER 28. THE Z3 THREE DIMENSIONAL POTTS MODEL WITH ANTI-FERROMAGNETIC ADMIXTURE
1. INTRODUCTION
2. THE SIMULATION
3. RESULTS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 29. PHASE TRANSITIONS IN SU(2) GAUGE THEORY WITH MANY FLAVOURS OF STAGGERED FERMIONS
1. INTRODUCTION
2. BETA FUNCTIONS AND PHASE DIAGRAMS
3. NUMERICAL SIMULATION RESULTS
4. CONCLUSIONS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 30. FULL QCD ON AN 83x 2 LATTICE
1. INTRODUCTION
2. APPARATUS
3. DATA
4. SUMMARY
REFERENCES
CHAPTER 31. LATTICE QCD AT FINITE DENSITY
1. Introduction
2. Formulation
3. Results
4. Conclusion
ACKNOWLEDGEMENT
REFERENCES
CHAPTER 32. SIMULATING QCD AT FINITE DENSITY
ACKNOWLEDGMENTS
REFERENCES
Part 3: Machines
CHAPTER 33. QCD WITH DYNAMICAL FERMIONS ON THE CONNECTION MACHINE
1. INTRODUCTION
2. THE CONNECTION MACHINE
3. HYBRID MONTE CARLO ALGORITHM
4. DYNAMICAL FERMION PROGRAM
5. CODE PERFORMANCE
6. CMIS FUNCTIONS
REFERENCES
CHAPTER 34. STATUS OF QCDPAX
1. INTRODUCTION
2. HARDWARE
3. SOFTWARE
4. PRESENT STATUS
REFERENCES
CHAPTER 35. DESIGNING MACHINES FOR LATTICE PHYSICS AND ALGORITHM INVESTIGATION
1. INTRODUCTION
2. MACHINE REQUIREMENTS
3. SOFTWARE DESIGN
4. THE ACPMAPS HARDWARE
5. QUANTITATIVE REQUIREMENTS
6. SUMMARY
REFERENCES
CHAPTER 36. STATUS OF THE COLUMBIA 256-NODE MACHINE
1. INTRODUCTION
2. 16-NODE MACHINE
3. 64-NODE MACHINE
4. 256-NODE MACHINE
5. THE FUTURE
ACKNOWLEDGEMENT
REFERENCES
CHAPTER 37. THE STATUS OF GF11
1. INTRODUCTION
2. ARCHITECTURE AND HARDWARE
3. SYSTEM SOFTWARE
REFERENCES
CHAPTER 38. PARALLEL PROCESSING SOLUTIONS FOR LARGE-SCALE SCIENTIFIC APPLICATIONS FRCM DIGITAL
1. INTRODUCTION
2 . VAX VECTORS AND PERFORMANCE GROWTH THROUGH THE 90 's
3. PERFORMANCE SUMMARY
4. DIGITAL'S VECTOR AND PARALLEL SOFTWARE
5. RESEARCH DIRECTIONS - MASSIVE PARALLELISM
Part 4: Algorithms
CHAPTER 39. USING HISTOGRAMS IN THE STUDY OF THE THERMODYNAMICS OF QCD AT FINITE TEMPERATURE
The Histogram Method
The Multi-Histogram Method
Error Analysis
Numerical Results
Acknowledgments
CHAPTER 40. CRITICAL ACCELERATION OF MONTE-CARLO SIMULATIONS OF Z2 GAUGE THEORY
1. INTRODUCTION
2. THE MODEL
3. THE UPDATING ALGORITHM
4. SIMULATIONS
5. CONCLUDING REMARKS
REFERENCES
CHAPTER 41. TEST OF THE REFLECTION CLUSTER ALGORITHM IN THE O ( 4 ) SPIN MODEL IN 4 DIMENSIONS AND ITS APPLICATION IN THIS MODEL AT FINITE PHYSICAL TEMPERATURE
1. Introduction
2. The model and the algorithm
3. Results
4. Applications
5. Conclusion
REFERENCES
CHAPTER 42. THE EFFECTIVE ACTION FROM MULTIGRID MONTE CARLO
1. INTRODUCTION
2. MULTIGRID DECOMPOSITION
3. MULTIGRID MONTE CARLO SIMULATION
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 43. NONEQUILIBRIUM MICROCANONICAL SIMULATION METHOD WITH FRICTION TERMS-STUDY OF PHASE TRANSITIONS
1. INTRODUCTION
2. NONEQUILIBRIUM MICROCANONICAL SIMULATION METHOD
3. SIMULATION RESULTS
4. SUMMARY AND FUTURE PROSPECT
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 44. COMPARISON OF INVERSION ALGORITHMS FOR WILSON FERMIONS
1. INTRODUCTION
2. ALGORITHMS
3. PRECONDITIONERS
4. COMPUTATIONS
5. RESULTS
REFERENCES
CHAPTER 45. A COMPARISON OF CLUSTER ALGORITHMS FOR POTTS MODELS
1. INTRODUCTION
2. MEASUREMENT OF AUTOCORRELATIONS
3. RESULTS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 46. A STUDY OF BLOCK ALGORITHMS FOR FERMION MATRIX INVERSION
1. INTRODUCTION
2. THE ALGORITHMS
3. KOGUT SUSSKIND FERMIONS
4. WILSON FERMIONS
5. CONCLUSIONS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 47. IMPROVED METHODS FOR COMPUTING MASSES FROM NUMERICAL SIMULATIONS
1. INTRODUCTION
2. SIGNAL-TO-NOISE RATIO FOR GLUEBALLS
3. SIGNAL-TO-NOISE RATIO FOR HADRONS
4. EXCITED STATES
5. MOMENTUM-SPACE OPERATORS
ACKNOWLEDGEMENTS
REFERENCES
Port 5: Spin Models
CHAPTER 48. A STUDY OF THE MASS GAP AND UNIVERSALITY IN THE O(3) NON-LINEAR s MODEL WITH THE CLUSTER ALGORITHM
1. Introduction and Summary
2. Theoretical methods to calculate the mass gap deep in the continuum limit
3. Numerical Methods
4. Results
REFERENCES
CHAPTER 49. A NEW MCRG CALCULATION OF THE CRITICAL BEHAVIOR OF THE 3D ISING MODEL-PRELIMINARY RESULTS
1. INTRODUCTION
2. MCRG
3. PRELIMINARY RESULTS
4. CONCLUSIONS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 50. THE PHASE TRANSITION OF THE 3-DIMENSIONAL 3-STATE POTTS MODEL
1. INTRODUCTION
2. THE FINITE LATIICE METHOD
3. ANALYSIS OF SERIES
4. CONCLUSION
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 51. NUMERICAL INVESTIGATION OF THE FOUR-DIMENSIONAL NONLINEAR SIGMA-MODEL
1. INTRODUCTION
2. ?4-THEORY
3. OUR CALCULATIONS
4. RESULTS
5. CONCLUSION
CHAPTER 52. ON THE 3-d 3-STATE POTTS MODEL
1. INTRODUCTION
2. THE MODELS
3. RESULTS
4. CONCLUSIONS
5. ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 53. INTERFACE TENSION AND STRUCTURE AT CRITICAL TEMPERATURE IN THE POTTS MODEL
1. INTRODUCTION
2. INTERFACE THERMODYNAMICS
3. MIGDAL-KADANOFF SCALING
4. SIMULATIONS
REFERENCES
CHAPTER 54. lIN-EXPANSION OF THE NON-LINEAR s-MODEL: THE FIRST THREE ORDERS
1. INTRODUCTION
2. EXPANSION IN 1/N
3. RESULTS
4. CONCLUSIONS
ACKNOWLEDGEMENT
REFERENCES
CHAPTER 55. DISTRIBUTION OF THE MEAN MAGNETIZATION IN O(N)-SYMMETRIC SPIN MODELS AND CHIRAL PERTURBATION THEORY
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 56. Finite Temperature QCD and SU(3) Spin Systems
1. Introduction
2. The Effective Action: Techniques
3. The Effective Action: Results
4. Conclusions
Acknowledgement
References
CHAPTER 57. MULTIGRID METHOD FOR THE 2-D XY MODEL
ACKNOWLEDGEMENTS
REFERENCES
Part 6: Hadron Spectrum
CHAPTER 58. A STUDY OF SMEARING TECHNIQUES FOR HADRON CORRELATION FUNCTIONS
1. INTRODUCTION
2. AN ITERATIVE SCHEME
3. I-LINK INTEGRAL TECHNIQUE
4. THE SCALAR PROPAGATOR AS A WAVEFUNCTION
5. Summary
REFERENCES
CHAPTER 59. THE SCALING OF THE QUENCHED CHIRAL CONDENSATE
1. INTRODUCTION AND THEORY
2. NUMERICAL RESULTS
3. CONCLUSIONS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 60. WILSON FERMIONS ON THE LATTICE - A STUDY OF THE EIGENVALUE SPECTRUM
1. INTRODUCTION
2. EIGENVALUES OF M AND THE PHASE DIAGRAM
3. TOPOLOGY AND TIlE EIGENVALUE SPECIRUM
4. CONCLUSIONS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 61. VACUUM STRUCTURE AROUND QUARK SYSTEMS
1. INTRODUCTION
2. THEORY
3. RESULTS AND DISCUSSION
4. CONCLUSION
ACKNOWLEDGMENTS
REFERENCES
CHAPTER 62. SPONTANEOUS·BREAKING OF PARITY IN QUENCHED LATTICE QCD WITH WILSON FERMIONS
1. INTRODUCTION
2. NEW METHOD
3. NUMERICAL RESULTS AT ZERO TEMPERATURE
4. NUMERICAL RESULTS AT FINITE TEMPERATURES
5. DISCUSSION AND FURTHER PROGRESS
ACKNOWLEDGEM ENTS
REFERENCES
CHAPTER 63. LATTICE NUCLEON ELECTROMAGNETIC FORM FACTORS
1. INTRODUCTION
2. TECHNICAL ASPECTS
3. RESULTS
4. SUMMARY AND DISCUSSION
5. ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 64. FINITE TEMPERATURE CALCULATIONS ON ANISOTROPIC LATTICES
1. INTRODUCTION
2. ?4 AND HIGGS MODELS
3. QCD
REFERENCES
CHAPTER 65. SIMULATION OF STAGGERED FERMIONS BY POLYMER ALGORITHMS
1. INTRODUCTION
2. POLYMER AVERAGING
3. GROSS-NEVEU MODELS WITH STAGGERED FERMIONS
CHAPTER 66. THE FERMION DETERMINANT ON SMALL LATTICES
1. FERMION DETERMINANT
2. QCD
3. QCD WITH ACHEMICAL POTENTIAL
4. QED
5. VISUALIZATION OF LATTICE QCD
Acknowledgement
REFERENCES
CHAPTER 67. HADRONIC SPECTROSCOPY WITH WILSON VALENCE QUARKS
1. INTRODUCTION
2. RESULTS
3. CONCLUSION
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 68. HADRON SPECTRUM WITH STAGGERED DYNAMICAL QUARKS
1. INTRODUCTION
2. CODE DEVELOPMENT
3. CALCULATIONAL DETAILS
4. RESULTS
REFERENCES
CHAPTER 69. pp MESONIUMS IN LATTICE GAUGE CALCULATIONS
1. Introduction
2. Formalism
3. Lattice Monte Carlo Results
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 70. HADRON SPECTRUM ON A 243 X 60 LATTICE
1. HADRON SPECTRUM
2. H DIBARYON
3. Acknowledgement
REFERENCES
CHAPTER 71. WHAT IS Kc ON A FINITE LATTICE
1. INTRODUCTION
2. CONTINUUM CHIRAL SYMMETRY
3. CHIRAL SYMMETRY ON A FINITE LATTICE
4. RESULTS
5. CONCLUSIONS
6. ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 72. FIRST RESULTS FROM THE THIRD-GENERATION COLUMBIA PARALLEL PROCESSOR
1. INTRODUCTION
2. Q.C.D. THERMODYNAMICS WITH 4 FLAVOURS OF STAGGERED FERMIONS
3. TEST CALCULATIONS
4. QUARK MASS == 1.0, Nt = 4
5. QUARK MASS == 0.5, Nt = 4
6. QUARK MASS == 0.025, Nt = 6
7. ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 73. FINITE SIZE EFFECTS IN FIELD THEORY AND CRITICAL PHENOMENA WITH SPONTANEOUSLY BROKEN O(N) SYMMETRY
1. Introduction
2. Physics by means of finite size effects
3. Results
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 74. THE APE WITH A SMALL MASS
1. INTRODUCTION
2. WILSON FERMIONS, ß = 5.7
3. STAGGERED FERMIONS, ß = 5.7
4. WILSON FERMIONS, ß = 6.0
5. SMEARED MULTI-ORIGIN GREEN FUNCTIONS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 75. QCD WITH DYNAMICAL FERMIONS
1. Hadron Spectroscopy at rna = 0.010
2. Hybrid Monte Carlo Results
3. ACKNOWLEDGEMENTS
References
CHAPTER 76. Lattice QCD with Dynamical Wilson Fermions
INTRODUCTION
METHOD AND ERROR ESTIMATES
IMPROVEMENTS
TEST OF THE PSEUDOFERMION METHOD
PION-RHO SPLITTING AND QUARK MASSES
COMPARISON WITH OTHER ALGORITHMS
CONCLUSIONS
ACKNOWLEDGEMENTS
REFERENCES
Part 7: Chiral Theories
CHAPTER 77. ON THE BREAKING OF CHIRAL GAUGE SYMMETRY
1. INTRODUCTION
2. SU(3)c x SU(2)L x U(1)y MODEL
3. RELATION TO GAUGE THEORY WITH SCALAR FIELDS
4. FERMION MASS
5. SUMMARY AND FINAL REMARKS
REFERENCES
CHAPTER 78. A LATTICE REGULARIZATION OF CHIRAL GAUGE THEORIES
1. INTRODUCTION
2. LATTICE ACTION
3. PERTURBATIVE STUDIES
4. CONSISTENCY OF THE PERTURBATIVE ANALYSIS
REFERENCES
CHAPTER 79. CIllRAL GAUGE THEORIES ON THE LATTICE
REFERENCES
CHAPTER 80. DECOUPLING OF RIGHT-HANDED NEUTRINOS IN THE LATTICE STANDARD MODEL
1. INTRODUCTION
2. LATTICE STANDARD MODEL
3. THE NEUTRINO DECOUPLING THEOREM
4. FURTHER DISCUSSION
REFERENCES
CHAPTER 81. LORENTZ SYMMETRY RESTORATION IN LATTICE CHIRAL GAUGE THEORIES
1. INTRODUCTION
2. A LATTICE CHIRAL GAUGE MODEL
3. INVESTIGATIONS IN PERTURBATION THEORY
4. MEAN FIELD CALCULATIONS
5. DISCUSSION
ACKNOWLEDGMENTS
REFERENCES
CHAPTER 82. NON-PERTURBATIVE BEHAVIOR OF LATTICE THEORIES WITH COUPLED SCALARS, FERMIONS, AND GAUGE FIELDS
1. INTRODUCTION
2. THE MODELS
3. HYPERCUBIC YUKAWA COUPLING
4. LOCAL YUKAWA COUPLING
5. CHIRAL TRANSITION IN GAUGE-HIGGS THEORIES
REFERENCES
CHAPTER 83. TOWARDS REMOVING DOUBLERS OF CHIRAL FERMIONS ON THE LATTICE
1. INTRODUCTION
2. THE MODEL
3. QUENCHED SIMULATIONS
4. DYNAMICAL FERMIONS
5. CONCLUSION
REFERENCES
CHAPTER 84. STRONG YUKAWA COUPLING STUDIES
MODEL I
MODEL II
CONCLUSION
REFERENCES
Part 8: Weak Interactions
CHAPTER 85. WEAK MATRIX ELEMENTS OF KAONS
1. PREFACE
2. THE Ko-Ko "B PARAMETER" (BsdLL)
3. THE DIRECT K+ p + po AMPLITUDE
4. THE DIRECT Kos p+p- AMPLITUDE
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 86. SEMI-LEPTONIC NEWS
1. INTRODUCTION
2. RENORMALIZATION
3. RESULTS
4. CONCLUSIONS AND OUTLOOK
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 87. LATTICE STUDY OF D Kp
1. INTRODUCTION
2. METHODOLOGY
3. RESULTS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 88. SEA QUARKS AND MATRIX ELEMENTS OF THE NUCLEON
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 89. CURRENT MATRIX ELEMENTS WITH QUENCHED WILSON FERMIONS
1. INTRODUCTION
2. RENORMALISATION OF COMPOSITE QUARK OPERATORS
3. DETERMINATION OF THE RENORMALISATION CONSTANTS AND fps, fv
4. BARYON OCTET AXIAL VECTOR COUPLINGS
5. SUMMARY AND CONCLUSIONS
REFERENCES
CHAPTER 90. A LATTICE STUDY OF CHARMED MESON DECAYS
1. Introduction
2. Semi-Ieptonic Decays of Charmed Mesons
3. Non-Leptonic Decays of Charmed Mesons
4. Conclusions
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 91. THE ELC COLLABORATION TASTES APE
1. Introduction
2. lattice Calibration
3. Calculation of The Kaon B-parameter
4. The ?l = 1/2 Amplitude
5. B physics a la' Eichten
Acknowledgements
REFERENCES
CHAPTER 92. APPLICATION OF HEAVY-LIGHT METHODS TO B MESON PHYSICS
1. INTRODUCTION
2. HEAVY-LIGHT MASSES
3. DECAY CONSTANT
4. PRELIMINARY RESULTS
5. SEMlLEPTONIC B DECAYS
6. SUMMARY
REFERENCES
CHAPTER 93. KAON DECAY AMPLITUDES WITH STAGGERED FERMIONS
1. INTRODUCTION
2. CURRENT ALGEBRA
3. LATTICE TECHNOLOGY
4. SIMULATION PARAMETERS
5. RESULTS FOR Bk
6. RESULTS FOR THE ?I = 1/2RULE
7. RESULTS FOR
8. CONCLUSIONS
REFERENCES
CHAPTER 94. LATTICE CALCULATION OF THE NEUTRON ELECTRIC DIPOLE MOMENT
ACKNOWLEDGEMENTS
REFERENCES
Part 9: Pure Gauge
CHAPTER 95. STRING CORRECTIONS AND ASYMPTOTIC SCALING IN SU(2) AND SU(3) LATTICE GAUGE THEORIES
1. Introduction
2. String corrections
3. Perturbative correction
4. Test of our procedure on 4d SU(2) andSU(3) models
5. Conclusions
References
CHAPTER 96. A TECHNIQUE FOR ANALYTICAL CALCULATION OF OBSERVABLES IN LATTICE GAUGE THEORIES
1. INTRODUCTION
2. THE SERIES EXPANSION
3. CALCULATION OF øv FOR A FINITE LATTICE
4. COMPARISON TO THE CONVENTIONAL STRONG COUPLING EXPANSION
5. THE WEAK COUPLING EXPANSION
6. COMPUTER RESOURCES, AND FURTHER APPLICATIONS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 97. QCD THERMODYNAMICS WITH LIGHT QUARKS AND GLUEBALL SPECTRA WITH DYNAMICAL QUARKS
1. INTRODUCTION
2. QCD THERMODYNAMICS WITH 4 LIGHT FLAVOURS
3. QCD WITH A REALISTIC QUARK SPECTRUM
4. GLUEBALLS AND TOPOLOGICAL CHARGE WITH DYNAMICAL QUARKS
REFERENCES
CHAPTER 98. HIGH PRECISION STUDY OF THE SPACE DISTRIBUTION OF THE COLOUR FLUX IN THE SU(2) LATTICE GAUGE THEORY
1. INTRODUCTION
2. RESULTS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 99. STRING TENSION AND FLUX TUBES ON THE LATTICE
1. INTRODUCTION
2. THE STRING TENSION
3. FLUX TUBES
REFERENCES
CHAPTER 100. PURE SU(2) LATTICE GAUGE THEORY ON 324 LATTICES
1. INTRODUCTION
2. ALGORITHMS AND IMPLEMENTATIONS
3. A MONTE CARLO RENORMALIZATION GROUP STUDY
4. CONCLUSIONS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 101. MONOPOLES AND CONFINEMENT IN SU(2) GAUGE THEORY
INTRODUCTION AND SUMMARY
PERIODIC U(1) GAUGE THEORY
THE MONOPOLE IN SU(2) GAUGE THEORY
CONSTRUCTING AN EFFECTIVE ACTION
-TOWARDS CONFINEMENT
ESTIMATE OF THE STRING TENSION
IN CONCLUSION
ACKNOWLEDGEMENTS
REFERENCES
Part 10: Analytic Results
CHAPTER 102. ISING·SPIN-GLASSES IN A MAGNETIC FIELD IN 3 DIMENSIONS
REFERENCES
CHAPTER 103. UNDERSTANDING SU(2) LATTICE ARTIFACTS IN INTERMEDIATE VOLUMES
1. INTRODUCTION
2. THE LATTICE EFFECTIVE ACTION
3. RELATING ?L AND ?MS
4. FROM TRANSFER MATRIX TO EFFECTIVE HAMILTONIAN
5. COMPARISON WITH MONTE CARLO DATA
6. CONCLUSION
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 104. ON THE PHENOMENON OF SYMMETRY ENHANCEMENT IN ABELIAN GAUGE THEORIES
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 105. THE GRIBOV PROBLEM IN THE FRAME OF STOCHASTIC QUANTIZATION
1. INTRODUCTION
2. STOCHASTIC QUANTIZATION
3. SEARCH FOR GRIBOV COPIES IN O
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 106. LATTICE QUARK PROPAGATOR IN FIXED GAUGES
1. MOTIVATION
2. GAUGE FIXING
3. RESULTS
4. SCALING
5. GAUGE DEPENDENCE
6. SUMMARY
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 107. t-EXPANSION CALCULATION OF THE TENSOR GLUEBALL IN SU
1. INTRODUCTION
2. THE METHOD
3. ANALYSIS
4. DISCUSSION
REFERENCES
CHAPTER 108. PLAQUETTE PERCOLATION FOR LATTICE GAUGE THEORY
1. INTRODUCTION
2. PLAQUETTE PERCOLATION
3. COMPUTATIONAL METHODS
4. CONClUSSION
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 109. IMPROVING FERMION OPERATORS(o)
Acknowledgements
References
CHAPTER 110. THE RESTORATION OF POINCARÉ INVARIANCE AND THE ENERGY MOMENTUM TENSOR IN LATTICE GAUGE THEORIES
REFERENCES
Part 11: Surfaces and Topology
CHAPTER 111. THE BOSONIC STRING SIMULATED AS ø3-GRAPHS
1. INTRODUCTION
2. THE MODEL
3. THE ALGORITHM
4. RESULTS
REFERENCES
CHAPTER 112. A NEW APPROACH TO COMPUTING CHERN CLASSES OF U(p)-VALUED LATTICE GAUGE FIELDS
INTRODUCTION
1. FROM L.G.F. TO PRINCIPAL BUNDLE
2. INTERSECTION-THEORETIC DEFINITION OF CHARACTERISTIC CLASSES
3. THE CASE G = SU
REFERENCES
CHAPTER 113. ABELIAN MONOPOLES IN SU2-VALUED LATTICE GAUGE-HIGGS SYSTEMS
INTRODUCTION
1. REDUCTION OF STRUCTURAL GROUP
2. FORCED REDUCTIONS
3. LATTICE DEFINITION OF AN "AS HORIZONTALAS POSSIBLE" SECTION BASED ON THE LATTICE HIGGS FIELD e
4. REMARKS ON THE CALCULATION
REFERENCES
CHAPTER 114. THE ONSET OF TOPOLOGY IN SU(3) LATTICE GAUGE THEORY
REFERENCES
CHAPTER 115. TOPOLOGY ON THE LATTICE
REFERENCES
CHAPTER 116. TOPOLOGICAL CHARGE, RENORMALIZATION AND COOLING ON THE LATTICE
1. INTRODUCTION
2. THE METHOD
3. RESULTS
REFERENCES
CHAPTER 117. THE TOPOLOGICAL SUSCEPTIBILITY: A COMPARISON OF COOLING, BLOCKING AND THE GEOMETRIC METHOD
1. COOLING, BLOCKING AND THE GEOMETRIC METHOD
2. PROBLEMS WITH DISLOCATIONS
3. SIMULATIONS OF Xt WITHOUT DISLOCATIONS
4. THE SU(3) CASE
5. CONCLUSIONS
ACKNOWLEDGEMENT
REFERENCES
CHAPTER 118. CRUMPLING TRANSITIONS IN FLUID RANDOM SURFACES
1. INTRODUCTION
2. MODELS
3. SIMULATIONS
4. RESULTS
5. DISCUSSION
ACKNOWLEDGEMENTS
REFERENCES
Port 12: Higgs
CHAPTER 119. HIGGS PHYSICS ON THE F4 LATTICE
1. INTRODUCTION
2. F4 STRUCTURE AND THE TRANSFER MATRIX
3. CUT-OFF EFFECTS IN PERTURBATION THEORY
4. FINITE SIZE EFFECTS
ACKNOWLEDGMENT
REFERENCES
CHAPTER 120. O(4) ON F4
REFERENCES
CHAPTER 121. RENORMALIZED YUKAWA COUPLINGS FROM THE LATTICE
1. INTRODUCTION
2. THE MODEL(S)
3. MASSES AND RENORMALIZED COUPLINGS
4. SUMMARY AND OPEN QUESTIONS
ACKNOWLEDGEM ENTS
REFERENCES
CHAPTER 122. STUDY OF THE PHASE TRANSITION LINE AND OF ITS ENDPOINT IN THE SU(2) HIGGS MODEL
1. INTRODUCTION
2. THE ORDER OF THE HIGGS PHASE TRANSITION
3. CRITICAL EXPONENTS
4. CONCLUSION
REFERENCES
CHAPTER 123. A STUDY OF ROTATIONAL SYMMETRY OF THE LATTICE ø4 MODEL
1. MOTIVATION
2. ISING MODEL VERSUS GAUSSIAN MODEL
3. OTHER ACTIONS
4. CONCLUSION
REFERENCES
Port 13: QED
CHAPTER 124. MONTE CARLO ANALYSIS OF NON COMPACT QED LATTICE THEORY WITH HIGGS FIELDS
1. INTRODUCTION
2. THE MODEL
3. FINITE y RESULTS
4. THE I = 8 LIMIT
5. CONCLUSIONS
REFERENCES
CHAPTER 125. CHIRAL SYMMETRY BREAKING IN STRONGLY COUPLED QUENCHED QED
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 126. QED IN STRONG COUPLING: SOME RECENT RESULTS
REFERENCES
CHAPTER 127. IS QED TRIVIAL?
1. INTRODUCTION
2. LATTICE CALCULATION
3. PREDICTIONS OF MEAN FIELD THEORY AND GAUSSIAN MODEL
4. DETERMINATION OF CRITICAL EXPONENTS
5. CONCLUSIONS
6. ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 128. CRITICAL BEHAVIOUR OF NON-COMPACT LATTICE QED WITH A FOUR-FERMION INTERACTION
1. INTRODUCTION
2. SIMULATIONS
3. CONCLUSIONS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 129. SOME RESULTS AND IDEAS ON THE CHIRAL TRANSITION IN QED
1. INTRODUCTION
2. THE GAP EQUATION
3. EQUIVALENCE TO MFT WITH LOGS
4. COMPARISON TO QED DATA
5. LINEAR EXTRAPOLATION
6. CONCLUSIONS
ACKNOWLEDGEMENTS
REFERENCES
Part 14: Miscellaneous
CHAPTER 130. A STUDY OF RANDOM FERMIONS
1. INTRODUCTION
2. THE LATTICE MODELS
3. NUMERICAL RESULTS
4. CONCLUSIONS
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 131. ON THE TOPOLOGICAL STRUCTURE OF THE GEOMETRICAL SCHWINGER MODEL
1. THE GEOMETRIC STANDARD MODEL
2. THE GEOMETRIC SCHWINGER MODEL ON THE TORUS
3. COMMENTS
ACKNOWLEDGEMENT
CHAPTER 132. THE LATTICE BOLTZMANN EQUATION FOR TURBULENCE
References
CHAPTER 133. QUANTUM SOLITONS AND ANYONS IN LATTICE FIELD THEORIES
Quantum Solitons
Anyons
References
CHAPTER 134. BINDING OF HOLES IN THE HUBBARD MODEL
ACKNOWLEDGEM ENTS
REFERENCES
CHAPTER 135. SUPERCONDUCTING SURPRISES: The Novel Structure of the Intenmediate State in Superconductors and Higgs Theories
1. Background
2. Landau's Problem Revisited
References
CHAPTER 136. REAL TIME QUANTUM MECHANICS ON A LATTICE
1. INTRODUCTION
2. CONSTRUCTION OF THE SOLUTION
ACKNOWLEDGEMENTS
APPENDIX
REFERENCES
CHAPTER 137. THE PARTITION FUNCTION WITH DVNAMICAL FERMIONS
1. INTRODUCTION
2. THE m DEPENDENCE OF THE PARTITION FUNCTION
3. EFFICIENCV
4. RESULTS
REFERENCES
CHAPTER 138. Failure of Perturbative Scaling in SU(3) Lattice Gauge Theory
ACKNOWLEDGEMENTS
REFERENCES
CHAPTER 139. A LANGEVIN SIMULATION OF THE GROSS-NEVEU SPECTRUM
1. INTRODUCTION
2. THE SIMULATION
3. THE SPECTRUM
4. CONCLUSION
REFERENCES
CHAPTER 140. ACCUMULATION-POINT APPROACH TO LATTICE GAUGE THEORY
1. INTRODUCTION
2. GENERAL PROPERTIES OF APPROACH
3. DETAILS OF COMPUTATIONS
4. RESULTS FOR GAUGE FIELDS
5. INCLUSION OF FERMIONS
REFERENCES
CHAPTER 141. SCATTERING OF COMPOSITE PARTICLES IN A GAUGE THEORY WITH CONFINEMENT
1. S-MATRIX FROM MONTE CARLO PROJECTOR TECHNIQUE
2. COMPOSITE PARTICLE SCATTERING IN QED
ACKNOWLEDGEMENT
REFERENCES
LIST OF PARTICIPANTS
AUTHOR INDEX
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