General Properties of Noncommutative Field Theories
Abstract
In this paper we study general properties of noncommutative field theories obtained from the Seiberg-Witten limit of string theories in the presence of an external B-field. We analyze the extension of the Wightman axioms to this context and explore their consequences, in particular we present a proof of the CPT theorem for theories with space-space noncommutativity. We analyze as well questions associated to the spin-statistics connections, and show that noncommutative N=4, U(1) gauge theory can be softly broken to N=0 satisfying the axioms and providing an example where the Wilsonian low energy effective action can be constructed without UV/IR problems, after a judicious choice of soft breaking parameters is made. We also assess the phenomenological prospects of such a theory, which are in fact rather negative.
Keywords
Cite
@article{arxiv.hep-th/0305093,
title = {General Properties of Noncommutative Field Theories},
author = {L. Alvarez-Gaume and M. A. Vazquez-Mozo},
journal= {arXiv preprint arXiv:hep-th/0305093},
year = {2010}
}
Comments
39 pages. LaTeX. 4 figures. Typos corrected. Comments and references added. To appear in Nuclear Physics B