Quantum Field Theory And Critical Phenomena
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Quantum Field Theory and Critical Phenomena
Author: Jean Zinn-Justin
language: en
Publisher: Oxford University Press
Release Date: 2021
This work provides a systematic introduction to quantum field theory and renormalization group, as applied to particle physics and continuous macroscopic phase transitions.
Quantum Field Theory and Critical Phenomena
Author: Jean Zinn-Justin
language: en
Publisher: Oxford University Press, USA
Release Date: 1989
Bibliogaphical notes and exercises after each chapter
The Theory of Critical Phenomena
The successful calculation of critical exponents for continuous phase transitions is one of the main achievements of theoretical physics over the last quarter-century. This was achieved through the use of scaling and field-theoretic techniques which have since become standard equipment in many areas of physics, especially quantum field theory. This book provides a thorough introduction to these techniques. Continuous phase transitions are introduced, then the necessary statistical mechanics is summarized, followed by standard models, some exact solutions and techniques for numerical simulations. The real-space renormalization group and mean-field theory are then explained and illustrated. The final chapters cover the Landau-Ginzburg model, from physical motivation, through diagrammatic perturbation theory and renormalization to the renormalization group and the calculation of critical exponents above and below the critical temperature.