Induced YM theory with auxiliary bosons
High Energy Physics - Lattice
2015-11-30 v1
Abstract
We study pure SU(N) lattice gauge theory with a plaquette weight factor given by an inverse determinant which can be written as an integral over auxiliary bosonic fields (modifying a proposal of Budczies and Zirnbauer). We derive conditions for the existence of a continuum limit and its equivalence to Yang-Mills theory. Furthermore, we perturbatively compute the relation between the coupling constants of the `induced' gauge action and the familiar Wilson gauge action using the background-field technique. The perturbative relation agrees well with numerical results for N=2 in three dimensions.
Cite
@article{arxiv.1511.08374,
title = {Induced YM theory with auxiliary bosons},
author = {Bastian B. Brandt and Robert Lohmayer and Tilo Wettig},
journal= {arXiv preprint arXiv:1511.08374},
year = {2015}
}
Comments
7 pages, 1 figure; contribution at the 33rd International Symposium on Lattice Field Theory, 14 -18 July 2015, Kobe, Japan