Noncommutative Quantum Field Theories
摘要
We start by reviewing the formulation of noncommutative quantum mechanics as a constrained system. Then, we address to the problem of field theories defined on a noncommutative space-time manifold. The Moyal product is introduced and the appearance of the UV/IR mechanism is exemplified. The emphasis is on finding and analyzing noncommutative quantum field theories which are renormalizable and free of nonintegrable infrared singularities. In this last connection we give a detailed discussion of the quantization of the noncommutative Wess-Zumino model as well as of its low energy behavior.
引用
@article{arxiv.hep-th/0301237,
title = {Noncommutative Quantum Field Theories},
author = {H. O. Girotti},
journal= {arXiv preprint arXiv:hep-th/0301237},
year = {2009}
}
备注
45 pages, 11 figures, lectures delivered at the XII Jorge Andre Swieca Summar School, Section Particles and Fields, Campos de Jordao, Brazil, 2003. Three references added, typos corrected