Quantum and statistical field theory

Author(s)

Bibliographic Information

Quantum and statistical field theory

Michel Le Bellac ; translated by G. Barton

Clarendon Press, 1991

  • : pbk

Other Title

Phenomenes critiques aux champs de jauge

Available at  / 49 libraries

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Note

Translation of: Des phenomenes critiques aux champs de jauge

Includes bibliographical references and index

Description and Table of Contents

Volume

ISBN 9780198539292

Description

Quantum field thory is a fundamental branch of theoretical physics, which in the last 20 year, has led to spectacular progress in our understanding of phase transitions and elementary particle physics. This textbook emphasizes the underlying unity of the concepts and methods used in both domains, and presents topics such as the pertubative expansion, Feynman diagrams, renormalization and the renormalization group. It contains detailed applications of critical phenomena to condensed matter physics, such as the calculation of critical exponents and a discussion of the XY model. Applications to particle physics include quantum electrodynamics and chromodynamics, electroweak interactions and lattice gauge theories. The book is based on courses given over several years on statistical mechanics and field theory, and is written at graduate level. It attempts to guide the reader through a somewhat difficult and sometimes intricate subject. Further it is intended to lead the student up to the level of more advanced textbooks and research articles. A large number of problems are given to measure the reader's understanding.

Table of Contents

  • PART I: CRITICAL PHENOMENA
  • Introduction to critical phenomena
  • Landau theory
  • The Renormalization group
  • Two-dimensional models
  • PART II: PERTURBATION THEORY AND RENORMALIZATION: The Euclidean Scalar Field: The perturbation expansion and Feynman diagrams
  • Renormalization
  • The Callan-Symanzik equations
  • PART III: THE QUANTUM THEORY OF SCALAR FIELDS: Path integrals in quantum and in statistical mechanics
  • Quantization of the Klein-Gordon field
  • Green's functions and the S matrix
  • PART IV: GAUGE THEORIES: Quantization of the Dirac Field and the Electromagnetic Field: Quantum electrodynamics
  • Non-Abelian gauge theories
  • Appendices
  • Index
  • References.
Volume

: pbk ISBN 9780198539643

Description

Quantum field thory is a fundamental branch of theoretical physics, which in the last 20 years, has led to spectacular progress in our understanding of phase transitions and elementary particle physics. This textbook emphasizes the underlying unity of the concepts and methods used in both domains, and presents in clear language topics such as the pertubative expansion, Feynman diagrams, renormalization, and the renormalization group. It contains detailed applications of critical phenomena to condensed matter physics, such as the calculation of critical exponents and a discussion of the XY model. Applications to particle physics include quantum electrodynamics and chromodynamics, electroweak interactions, and lattice gauge theories. The book is based on courses given over several years on statistical mechanics and field theory, and is written at graduate level. It attempts to guide the reader through a somewhat difficult and sometimes intricate subject. Further it is intended to lead the student up to the level of more advanced textbooks and research articles. A large number of problems are given to measure the reader's understanding.

Table of Contents

  • Part I: Critical Phenomena
  • Introduction to critical phenomena
  • Landau theory
  • The Renormalization group
  • Two-dimensional models
  • Part II: Perturbation theory and renormalization: The Euclidean Scalar Field: The perturbation expansion and Feynman diagrams
  • Renormalization
  • The Callan-Symanzik equations
  • Part III: The Quantum Theory of Scalar Fields: Path integrals in quantum and in statistical mechanics
  • Quantization of the Klein-Gordon field
  • Green's functions and the S matrix
  • Part IV: Gauge Theories: Quantization of the Dirac Field and the Electromagnetic Field: Quantum electrodynamics
  • Non-Abelian gauge theories
  • Appendices
  • Index
  • References

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