Large-N reduction with two adjoint Dirac fermions
Abstract
We study the single site SU(N) lattice gauge theory with N_f=2 adjoint Wilson fermions for values of N up to 53. We determine the phase diagram of the theory as a function of the hopping parameter kappa and the inverse 't Hooft coupling b, searching for the region in which the Z_N^4 center symmetry is unbroken. In this region the theory is equivalent to the infinite volume theory when N goes to infinity. We find a region of values of kappa on both sides of kappa_c for which the symmetry is unbroken, including both light physical quarks and masses ~O(1/a). This is surrounded by a region with a complicated sequence of partially broken phases. We calculate Wilson loop expectation values and find that using N <= 53 it is possible to extract the heavy-quark potential at small distances (1-3 links) but not at longer distances. For this, larger values of N, or lattices with more sites, are needed.
Cite
@article{arxiv.1111.1059,
title = {Large-N reduction with two adjoint Dirac fermions},
author = {Barak Bringoltz and Mateusz Koren and Stephen R. Sharpe},
journal= {arXiv preprint arXiv:1111.1059},
year = {2011}
}
Comments
7 pages, 3 figures, talk presented at Lattice 2011 (Applications beyond QCD), Squaw Valley, Lake Tahoe, California, July 10-16, 2011