Quantum Field Theory and Critical Phenomena
Oxford University Press (Verlag)
978-0-19-883462-5 (ISBN)
Introduced as a quantum extension of Maxwell's classical theory, quantum electrodynamics has been the first example of a Quantum Field Theory (QFT). Eventually, QFT has become the framework for the discussion of all fundamental interactions at the microscopic scale except, possibly, gravity. More surprisingly, it has also provided a framework for the understanding of second order phase transitions in statistical mechanics.
As this work illustrates, QFT is the natural framework for the discussion of most systems involving an infinite number of degrees of freedom with local couplings. These systems range from cold Bose gases at the condensation temperature (about ten nanokelvin) to conventional phase transitions (from a few degrees to several hundred) and high energy particle physics up to a TeV, altogether more than twenty orders of magnitude in the energy scale.
Therefore, this text sets out to present a work in which the strong formal relations between particle physics and the theory of critical phenomena are systematically emphasized. This option explains some of the choices made in the presentation. A formulation in terms of field integrals has been adopted to study the properties of QFT. The language of partition and correlation functions has been used throughout, even in applications of QFT to particle physics. Renormalization and renormalization group properties are systematically discussed. The notion of effective field theory and the emergence of renormalisable theories are described. The consequences for fine tuning and triviality issue are emphasized.
This fifth edition has been updated and fully revised, e.g. in particle physics with progress in neutrino physics and the discovery of the Higgs boson. The presentation has been made more homogeneous througout the volume, and emphasis has been put on the notion of effective field theory and discussion of the emergence of renormalisable theories.
Jean Zinn-Justin, Scientific Advisor, CEA, Paris-Saclay. Jean Zinn-Justin has worked as a theoretical and mathematical physicist at Saclay Nuclear Research Centre (CEA) since 1965, where he was also Head of the Institute of Theoretical Physics from 1993-1998. Since 2010 he has also held the position of Adjunct Professor at Shanghai University. Previously he has served as a visiting professor at the Massachusetts Institute of Technology (MIT), Princeton University, State University of New York at Stony Brook, and Harvard University. He directed the Les Houches Summer School for theoretical physics from 1987 to 1995. He has served on editorial boards for several influential physics journals including the French Journal de Physique, Nuclear Physics B, Journal of Physics A, and the New Journal of Physics.
Preface
1: Gaussian integrals. Algebraic preliminaries
2: Euclidean path integrals and quantum mechanics
3: Quantum mechanics: Path integrals in phase space
4: Quantum statistical physics: Functional integration formalism
5: Quantum evolution: From particles to fields
6: The neutral relativistic scalar field
7: Perturbative quantum field theory: Algebraic methods
8: Ultraviolet divergences: Effective quantum field theory
9: Introduction to renormalization theory and renormalization group
10: Dimensional continuation, regularization. Minimal subtraction, RG functions
11: Renormalization of local polynomials. Short distance expansion
12: Relativistic fermions: Introduction
13: Symmetries, chiral symmetry breaking and renormalization
14: Critical phenomena: General considerations. Mean-field theory
15: The renormalization group approach: The critical theory near dimension 4
16: Critical domain: Universality, "-expansion
17: Critical phenomena: Corrections to scaling behaviour
18: O(N)-symmetric vector models for N large
19: The non-linear ?-model near two dimensions: Phase structure
20: GrossDSNeveuDSYukawa and GrossDSNeveu models
21: Abelian gauge theories: The framework of quantum electrodynamics
22: Non-Abelian gauge theories: Introduction
23: The Standard Model of fundamental interactions
24: Large momentum behaviour in quantum field theory
25: Lattice gauge theories: Introduction
26: BRST symmetry, gauge theories: Zinn-Justin equation and renormalization
27: Supersymmetric quantum field theory: Introduction
28: Elements of classical and quantum gravity
29: Generalized non-linear ?-models in two dimensions
30: A few two-dimensional solvable quantum field theories
31: O(2) spin model and KosterlitzDSThouless>'s phase transition
32: Finite-size effects in field theory. Scaling behaviour
33: Quantum field theory at finite temperature: Equilibrium properties
34: Stochastic differential equations: Langevin, FokkerDSPlanck equations
35: Langevin field equations, properties and renormalization
36: Critical dynamics and renormalization group
37: Instantons in quantum mechanics
38: Metastable vacua in quantum field theory
39: Degenerate classical minima and instantons
40: Perturbative expansion at large orders
41: Critical exponents and equation of state from series summation
42: Multi-instantons in quantum mechanics
Bibliography
Index
| Erscheinungsdatum | 20.04.2021 |
|---|---|
| Reihe/Serie | International Series of Monographs on Physics ; 171 |
| Zusatzinfo | Numerous figures |
| Verlagsort | Oxford |
| Sprache | englisch |
| Maße | 175 x 255 mm |
| Gewicht | 1762 g |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik |
| Naturwissenschaften ► Physik / Astronomie ► Hochenergiephysik / Teilchenphysik | |
| Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| ISBN-10 | 0-19-883462-4 / 0198834624 |
| ISBN-13 | 978-0-19-883462-5 / 9780198834625 |
| Zustand | Neuware |
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