Itzykson C., Drouffe J.-M. Statistical Field Theory. Volume 1. From Brownian Motion to Renormalization and Lattice Gauge Theory

Cambridge University Press, 1991 — 428 pp. — (Cambridge Monographs on Mathematical Physics). — ISBN: 9780521408059.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.This is an extremely topical book, with high sales potential (as already proved by sales of hardcover)
Itzykson is the author of the best selling quantum field theory book of all time (Itzykson and Zhuber: Quantum Field Theory, McGraw-Hill, 1980)From Brownian motion to Euclidean fields
Grassmannian integrals and two-dimensional Ising models
Spontaneous symmetry breaking
Scaling transformations and the XY-model
Continuous field theory and the renormalization group
Lattice gauge fields.