Vacuum alignment and lattice artifacts: Wilson fermions
Abstract
Confinement in asymptotically free gauge theories is accompanied by the spontaneous breaking of the global flavor symmetry. If a subgroup of the flavor symmetry group is coupled weakly to additional gauge fields, the vacuum state tends to align such that the gauged subgroup is unbroken. Independently, a lattice discretization of the continuum theory typically reduces the manifest flavor symmetry, and, in addition, can give rise to new lattice-artifact phases with spontaneously broken symmetries. Here, we study the interplay of these two phenomena for Wilson fermions, using chiral lagrangian techniques. We consider two examples: electromagnetic corrections to QCD, and a prototype composite-Higgs model.
Keywords
Cite
@article{arxiv.1401.0356,
title = {Vacuum alignment and lattice artifacts: Wilson fermions},
author = {Maarten Golterman and Yigal Shamir},
journal= {arXiv preprint arXiv:1401.0356},
year = {2015}
}
Comments
Revtex, 18 pages. This replacement corrects a few minor errors in the published version