ISBN-10:
0521408059
ISBN-13:
9780521408059
Pub. Date:
03/29/1991
Publisher:
Cambridge University Press
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

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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: 03/29/1991
Series: Cambridge Monographs on Mathematical Physics , #1
Edition description: Reprint
Pages: 428
Product dimensions: 6.38(w) x 9.06(h) x 1.06(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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