On matrix model formulations of noncommutative Yang-Mills theories

被引：14

作者：

Azeyanagi, Tatsuo ^{[1
]}

Hanada, Masanori ^{[2
]}

Hirata, Tomoyoshi ^{[1
]}

机构：

[1] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan

[2] Weizmann Inst Sci, Dept Particle Phys, IL-76100 Rehovot, Israel

来源：

PHYSICAL REVIEW D | 2008年 / 78卷 / 10期

基金：

日本学术振兴会;

关键词：

D O I：

10.1103/PhysRevD.78.105017

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the stability of noncommutative spaces in matrix models and discuss the continuum limit which leads to the noncommutative Yang-Mills theories. It turns out that most 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 noncommutative Yang-Mills theories 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.

引用

页数：10

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