Quantum Field Theory on Noncommutative Spaces
摘要
A pedagogical and self-contained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl-Wigner correspondence, noncommutative Feynman diagrams, UV/IR mixing, noncommutative Yang-Mills theory on infinite space and on the torus, Morita equivalences of noncommutative gauge theories, twisted reduced models, and an in-depth study of the gauge group of noncommutative Yang-Mills theory. Some of the more mathematical ideas and techniques of noncommutative geometry are also briefly explained.
引用
@article{arxiv.hep-th/0109162,
title = {Quantum Field Theory on Noncommutative Spaces},
author = {Richard J. Szabo},
journal= {arXiv preprint arXiv:hep-th/0109162},
year = {2009}
}
备注
111 pages LaTeX, 6 eps figures; Some material and discussions added for clarity, corrections done, references added; Final version to be published in Physics Reports