Functional methods in quantum field theory and statistical physics /

Bibliographic Details
Main Author:	Vasilʹev, A. N. (Author)
Corporate Author:	Taylor & Francis
Other Authors:	Millard, Patricia A. (Translator)
Format:	eBook
Language:	English
Published:	Boca Raton, FL : CRC Press, [1998]
Subjects:	Functional analysis. Quantum field theory. Quantum statistics. Analyse fonctionnelle. Théorie quantique des champs. Statistique quantique. SCIENCE > Energy. SCIENCE > Mechanics > General. SCIENCE > Physics > General. Functional analysis Quantum field theory Quantum statistics Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Cover; Half Title; Title Page; Copyright Page; Table of Contents; Foreword; Preface; Chapter 1: THE BASIC FORMALISM OF FIELD THEORY; 1.1 Fields and Products; 1.1.1 Canonical quantization; 1.1.2 The classical free theory; 1.1.3 Anticommuting fields; 1.1.4 The normal-ordered product of free-field operators; 1.2 Functional Formulations of Wick's Theorem; 1.2.1 Wick's theorem for a simple product; 1.2.2 The Sym-product and the T-product; 1.2.3 Wick's theorem for symmetric products; 1.2.4 Reduction formulas for operator functionals; 1.2.5 The Wick and Dyson T-products
1.3 The S-Matrix and Green Functions1.3.1 Definitions; 1.3.2 Transformation to the interaction picture in the evolution operator; 1.3.3 Transformation to the interaction picture for the Green functions; 1.3.4 Interactions containing time derivatives of the field; 1.3.5 Generating functionals for the S-matrix and Green functions; 1.4 Graphs; 1.4.1 Perturbation theory; 1.4.2 Some concepts from graph theory; 1.4.3 Symmetry coefficients; 1.4.4 Recursion relation for the symmetry coefficients; 1.4.5 Transformation to Mayer graphs for the exponential interaction