Non-abelian lattice gauge theory with a topological action
Abstract
SU(2) gauge theory is investigated with a lattice action which is insensitive to small perturbations of the lattice gauge fields. Bare perturbation theory can not be defined for such actions at all. We compare non-perturbative continuum results with that obtained by the usual Wilson plaquette action. The compared observables span a wide range of interesting phenomena: zero temperature large volume behavior (topological susceptibility), finite temperature phase transition (critical exponents and critical temperature) and also the small volume regime (discrete beta-function or step-scaling function). In the continuum limit perfect agreement is found indicating that universality holds for these topological lattice actions as well.
Keywords
Cite
@article{arxiv.1807.05295,
title = {Non-abelian lattice gauge theory with a topological action},
author = {Daniel Nogradi and Lorinc Szikszai and Zoltan Varga},
journal= {arXiv preprint arXiv:1807.05295},
year = {2018}
}
Comments
12 pages, 14 figures, references added