On Matrix Model Formulations of Noncommutative Yang-Mills Theories
arXiv:0806.3252 · doi:10.1103/PhysRevD.78.105017
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.
24 pages, no figure, reference added, minor corrections, to be published in PRD
References in corpus (11)
- Center-stabilized Yang-Mills theory: confinement and large volume independence
- Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
- Black hole thermodynamics from simulations of lattice Yang-Mills theory
- Non-lattice simulation for supersymmetric gauge theories in one dimension
- Towards lattice simulation of the gauge theory duals to black holes and hot strings
- Symmetry Breaking In Twisted Eguchi-Kawai Models
- Phase structure of twisted Eguchi-Kawai model
- Breakdown of large-N quenched reduction in SU(N) lattice gauge theories
- Field Equations of Massless Fields in the New Interpretation of the Matrix Model
- Localization for Yang-Mills Theory on the Fuzzy Sphere
- Topology Change From Quantum Instability of Gauge Theory on Fuzzy CP^2