Near commuting multi-matrix models

作者:O'Connor Denjoe*; Filev Veselin G
来源:The Journal of High Energy Physics, 2013, 2013(4): 144.
DOI:10.1007/JHEP04(2013)144

摘要

We investigate the radial extent of the eigenvalue distribution for Yang-Mills type matrix models. We show that, a three matrix Gaussian model with complex Myers coupling, to leading order in strong coupling is described by commuting matrices whose joint eigenvalue distribution is uniform and confined to a ball of radius R = (3 pi/2g)(1/3). We then study, perturbatively, a 3-component model with a pure commutator action and find a radial extent broadly consistent with numerical simulations.

  • 出版日期2013-4