Statistical Field Theory: Volume 1: From Brownian Motion to Renormalization and Lattice Gauge Theory

Statistical Field Theory: Volume 1: From Brownian Motion to Renormalization and Lattice Gauge Theory

by Claude Itzykson, Jean-Michel Drouffe
     
 

ISBN-10: 0521408059

ISBN-13: 9780521408059

Pub. Date: 03/28/1991

Publisher: Cambridge University Press

A comprehensive and timely survey of the application of the methods of quantum field theory to statistical physics, a very active and fruitful area of modern research, is provided in two volumes. The first volume provides a pedagogical introduction to the subject, discussing Brownian motion, its anticommutative counterpart in the guise of Onsager's solution to the

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Overview

A comprehensive and timely survey of the application of the methods of quantum field theory to statistical physics, a very active and fruitful area of modern research, is provided in two volumes. The first volume provides a pedagogical introduction to the subject, discussing Brownian motion, its anticommutative counterpart in the guise of Onsager's solution to the two-dimensional Ising model, the mean field or Landau approximation, scaling ideas exemplified by the Kosterlitz-Thouless theory for the XY transition, the continuous renormalization group applied to the standard phi-to-the-fourth theory (the simplest typical case) and lattice gauge theory as a pathway to the understanding of quark confinement in quantum chromodynamics.

Product Details

ISBN-13:
9780521408059
Publisher:
Cambridge University Press
Publication date:
03/28/1991
Series:
Cambridge Monographs on Mathematical Physics Series
Edition description:
Reprint
Pages:
428
Product dimensions:
5.98(w) x 8.98(h) x 0.94(d)

Table of Contents

1. From Brownian motion to Euclidean fields; 2. Grassmannian integrals and two-dimensional Ising models; 3. Spontaneous symmetry breaking; 4. Scaling transformations and the XY-model; 5. Continuous field theory and the renormalization group; 6. Lattice gauge fields.

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