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

ISBN-13: 9780521408059 / Angielski / Miękka / 1991 / 428 str.

Claude Itzykson; Jean-Michel Drouffe

Opis

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.

Recenzje

"...an excellent pedagogically oriented introduction to the essential fundamentals of this rapidly expanding field. The level of treatment and clarity make it suitable for use as a primary reference in a graduate course." D. J. Geldart, Physics in Canada

Spis treści

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.