图书简介
This volume links field theory methods and concepts from particle physics with those in critical phenomena and statistical mechanics, the development starting from the latter point of view. Rigor and lengthy proofs are trimmed by using the phenomenological framework of graphs, power counting, etc., and field theoretic methods with emphasis on renormalization group techniques. Non-perturbative methods and numerical simulations are introduced in this new edition. Abundant references to research literature complement this matter-of-fact approach. The book introduces quantum field theory to those already grounded in the concepts of statistical mechanics and advanced quantum theory, with sufficient exercises in each chapter for use as a textbook in a one-semester graduate course.
The following new chapters are included:
I. Real Space Methods
II. Finite Size Scaling
III. Monte Carlo Methods. Numerical Field Theory
Pertinent Concepts and Ideas in the Theory of Critical Phenomena
Formulation of the Problem of Phase Transitions in Terms of Functional Integrals
Functional Integrals in Quantum Field Theory
Perturbation Theory and Feynman Graphs
Vertex Functions and Symmetry Breaking
Expansions in the Number of Loops and in the Number of Components
Renormalization
The Renormalization Group and Scaling the Critical Region
The Computation of the Critical Exponents
Beyond Leading Scaling
Universality Revisited
Critical Behavior with Several Couplings
Crossover Phenomena
Critical Phenomena near Two Dimensions
Real Space Methods
Finite Size Scaling
Monte Carlo Methods. Numerical Field Theory
Trade Policy 买家须知
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