Statistical Field Theory: Volume 1, From Brownian Motion to Renormalization and Lattice Gauge Theory available in Paperback
- Pub. Date:
- 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 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.
Table of Contents1. 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.