Statistical Mechanics And Field Theory Mathematical Aspects

Authors: Scheck, Florian
Presents a unique combination of all relevant aspects of statistical physics and thermodynamics in one textbook, emphasizes analogies, giving a clear overview of relation between topics
Provides mathematical background material, making this textbook self-contained
New concept: fast track for master students plus intensive track for in depth studies

This book is devoted to the subject of quantum field theory. It is divided into two volumes. The first can serve as a textbook on the main techniques and results of quantum field theory, while the second treats more recent developments, in particular the subject of quantum groups and noncommutative geometry, and their interrelation.

The notion of a "quantum group" was introduced by V.G. Dinfeld and M. Jimbo, independently, in their study of the quantum Yang-Baxter equation arising from 2-dimensional solvable lattice models. Quantum groups are certain families of Hopf algebras that are deformations of universal enveloping algebras of Kac-Moody algebras.