On Matrix Model Formulations of Noncommutative Yang-Mills Theories
Abstract
We study stability of noncommutative spaces in matrix models and discuss the continuum limit which leads to noncommutative Yang-Mills theories (NCYM). It turns out that most of noncommutative spaces in bosonic models are unstable. This indicates perturbative instability of fuzzy R^D pointed out by Van Raamsdonk and Armoni et al. persists to nonperturbative level in these cases. In this sense, these bosonic NCYM are not well-defined, or at least their matrix model formulations studied in this paper do not work. We also show that noncommutative backgrounds are stable in a supersymmetric matrix model deformed by a cubic Myers term, though the deformation itself breaks supersymmetry.
Cite
@article{arxiv.0806.3252,
title = {On Matrix Model Formulations of Noncommutative Yang-Mills Theories},
author = {Tatsuo Azeyanagi and Masanori Hanada and Tomoyoshi Hirata},
journal= {arXiv preprint arXiv:0806.3252},
year = {2009}
}
Comments
24 pages, no figure, reference added, minor corrections, to be published in PRD