Non-commutative principal chiral models
High Energy Physics - Theory
2009-11-07 v3
Abstract
Twisted Eguchi-Kawai reduced chiral models are shown to be formally equivalent to a U(1) non-commutative parent theory. The non-commutative theory describes the vacuum dynamics of the non-commutative charged tachyonic field of a brane system. To make contact with the continuum non-commutative theory, a double scaling large N limit for the reduced model is required. We show a possible limiting procedure, which we propose to investigate numerically. Our numerical results show substantial consistency with the outlined procedure
Cite
@article{arxiv.hep-th/0111285,
title = {Non-commutative principal chiral models},
author = {Stefano Profumo},
journal= {arXiv preprint arXiv:hep-th/0111285},
year = {2009}
}
Comments
15 pages, 2 figures