Quantum and Statistical Field Theory

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Michel Le Bellac (Professor of Physics, Professor of Physics, Laboratoire de Physique Theorique, Parc Valrose, 06034 Nice, Cedex, France) G. Barton (, University of Sussex)

Quantum and Statistical Field Theory

Michel Le Bellac (Professor of Physics, Professor of Physics, Laboratoire de Physique Theorique, Parc Valrose, 06034 Nice, Cedex, France), G. Barton (, University of Sussex), G. Barton

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English

Clarendon Press
26 March 1992

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.

By: Michel Le Bellac (Professor of Physics Professor of Physics Laboratoire de Physique Theorique Parc Valrose 06034 Nice Cedex France)
Translated by: G. Barton ( University of Sussex), G. Barton
Imprint: Clarendon Press
Country of Publication: United Kingdom
Dimensions: Height: 232mm, Width: 155mm, Spine: 33mm
Weight: 1g
ISBN: 9780198539643
ISBN 10: 0198539649
Pages: 608
Publication Date: 26 March 1992
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

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

Reviews for Quantum and Statistical Field Theory

[An] excellent book on field theory written from a modern standpoint and using a mathematical language (that of 'functional methods') appropriate to this standpoint. A superior text. Bellac's book surveys the whole field, but is particularly good on the physics of condensed matter. It is written in a very clear way. He covers a lot of ground, but in such a way that a beginning research student can learn about topics as diverse as the ising model, the renormalization group, path integral methods, and non-abelian gauge field theories. In fact, the earlier sections of the book should accessible to final-year undergraduates in theoretical physics. The book is well planned, carefully written, and pedagogically sound. -- Good undergraduates, graduate students, teachers at different levels, and curious scientists are among the potential readers of this very interesting book. --Journal of Statistical Physics