A Modern Course in Quantum Field Theory, Volume 2 (Second Edition)
Description
A Modern Course in Quantum Field Theory provides a self-contained pedagogical and constructive presentation of quantum field theory. It contains a comprehensive introduction to the fundamental topics of quantum field theory starting from free fields and their quantization, renormalizable interactions, critical phenomena, the standard model of elementary particle physics, lattice field theory, the functional renormalization group equation, non-commutative field theory, topological field configurations, exact solutions of quantum field theory, supersymmetry and the AdS/CFT correspondence. The emphasis throughout is put on the physical principle of symmetry (especially the local principle of gauge symmetry) and on the mathematical machinery of Wilson's renormalization group equation. Volume two tackles more advanced themes often found in longer three-semester, or specialist further advanced postgraduate courses. It provides an introductory review to contemporary advanced topics in QFT, in particular, lattice field theory, topological field configurations, supersymmetry and the AdS/CFT correspondence, and it includes a systematic introduction to the functional renormalization group equation with application in noncommutative scalar field theory. Some non-perturbative methods, which allow exact solutions in lower dimensions, or due to the larger number of symmetries involved, are also discussed. This new edition also includes chapters added on noncommutative field theory and the SYK models.
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Badis Ydri is a professor of theoretical physics at the Institute of Physics, Annaba University, Algeria. He earned his PhD from Syracuse University, New York, USA, in 2001. He is also a research associate at the Dublin Institute for Advanced Studies, Ireland. His postdoctoral work includes a Marie Curie fellowship at Humboldt University in Berlin, Germany, and a Hamilton fellowship at the Dublin Institute for Advanced Studies, Ireland. His general areas of expertise encompasses quantum field theory, general relativity, string theory, and philosophy of physics. His ongoing research explores: 1) matrix quantum mechanics approaches to quantum black holes and quantum gravity, 2) gauge/gravity duality and M-theory, 3) noncommutative geometry and matrix models, 4) renormalization group equation and Monte Carlo methods, 5) artificial intelligence in computational physics, 6) quantum philosophy, and 7) hard physical philosophy of consciousness and existence. He is the author of seven books in theoretical physics.
Content
Prologue
Author biography
12 The Wilson and functional renormalization group equations
13 Some exact solutions of quantum field theory
14 The monopoles and instantons
15 Introducing supersymmetry
16 The AdS/CFT correspondence
17 Conformal field theory and emergence of conformal symmetry
18 Novel phenomena in noncommutative field theory: emergent geometry
19 Noncommutative scalar field theory and its renormalizability
20 The neural network method for quantum field theory
Appendix A: Lie algebra representation theory: a primer A-1
Appendix B: On homotopy theory
