Local Quantum Physics
Fields, Particles, Algebras
2nd Edition
Published on 6. December 2012
XV, 390 pages
978-3-642-61458-3 (ISBN)
Description
The new edition provided the opportunity of adding a new chapter entitled "Principles and Lessons of Quantum Physics". It was a tempting challenge to try to sharpen the points at issue in the long lasting debate on the Copenhagen Spirit, to assess the significance of various arguments from our present vantage point, seventy years after the advent of quantum theory, where, after ali, some problems appear in a different light. It includes a section on the assumptions leading to the specific mathematical formalism of quantum theory and a section entitled "The evolutionary picture" describing my personal conclusions. Alto gether the discussion suggests that the conventional language is too narrow and that neither the mathematical nor the conceptual structure are built for eter nity. Future theories will demand radical changes though not in the direction of a return to determinism. Essential lessons taught by Bohr will persist. This chapter is essentially self-contained. Some new material has been added in the last chapter. It concerns the char acterization of specific theories within the general frame and recent progress in quantum field theory on curved space-time manifolds. A few pages on renor malization have been added in Chapter II and some effort has been invested in the search for mistakes and unclear passages in the first edition. The central objective of the book, expressed in the title "Local Quantum Physics", is the synthesis between special relativity and quantum theory to gether with a few other principles of general nature.
Reviews / Votes
"Indeed, both the expert in the field and the novice will enjoy Haags insightful exposition... This (superb) book is bound to occupy a place on a par with other classics in the mathematical physics literature." Physics Today "...enjoyable reading to anybody interested in the development of fundamental physical theories." Zentralblatt f. MathematikMore details
Series
Edition
Second Edition 1996
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Illustrations
XV, 390 p.
File size
36,61 MB
ISBN-13
978-3-642-61458-3 (9783642614583)
DOI
10.1007/978-3-642-61458-3
Schweitzer Classification
Other editions
Additional editions
Book
08/1996
2nd Edition
Springer
€89.99
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Book
08/1996
2nd Edition
Springer
€90.94
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Previous edition
E-Book
12/2012
1st Edition
Springer
€82.38
Available for download
Content
I. Background.- 1. Quantum Mechanics.- 2. The Principle of Locality in Classical Physics and the Relativity Theories.- 3. Poincaré Invariant Quantum Theory.- 4. Action Principle.- 5. Basic Quantum Field Theory.- II. General Quantum Field Theory.- 1. Mathematical Considerations and General Postulates.- 3. Physical Interpretation in Terms of Particles.- 4. General Collision Theory.- 5. Some Consequences of the Postulates.- III. Algebras of Local Observables and Fields.- 1. Review of the Perspective.- 2. Von Neumann Algebras. C*-Algebras. W*-Algebras.- 3. The Net of Algebras of Local Observables.- 4. The Vacuum Sector.- IV. Charges, Global Gauge Groups and Exchange Symmetry.- 1. Charge Superselection Sectors.- 2. The DHR-Analysis.- 3. The Buchholz-Fredenhagen-Analysis.- 4. Global Gauge Group and Charge Carrying Fields.- 5. Low Dimensional Space-Time and Braid Group Statistics.- V. Thermal States and Modular Automorphisms.- 1. Gibbs Ensembles, Thermodynamic Limit, KMS-Condition.- 2. Modular Automorphisms and Modular Conjugation.- 3. Direct Characterization of Equilibrium States.- 4. Modular Automorphisms of Local Algebras.- 5. Phase Space, Nuclearity, Split Property, Local Equilibrium.- 6. The Universal Type of Local Algebras.- VI. Particles. Completeness of the Particle Picture.- 1. Detectors, Coincidence Arrangements, Cross Sections.- 2. The Particle Content.- 3. The Physical State Space of Quantum Electrodynamics.- VII. Principles and Lessons of Quantum Physics. A Review of Interpretations, Mathematical Formalism and Perspectives.- 1. The Copenhagen Spirit. Criticisms, Elaborations.- 2. The Mathematical Formalism.- 3. The Evolutionary Picture.- VIII. Retrospective and Outlook.- 1. Algebraic Approach vs. Euclidean Quantum Field Theory.- 2. Supersymmetry.- 3. TheChallenge from General Relativity.- Author Index and References.
