Compact lattice U(1) and Seiberg-Witten duality: a quantitative comparison
High Energy Physics - Theory
2009-11-10 v2 High Energy Physics - Lattice
Abstract
It was conjectured some time ago that an effective description of the Coulomb-confinement transition in compact U(1) lattice gauge field theory could be described by scalar QED obtained by soft breaking of the N=2 Seiberg-Witten model down to N=0 in the strong coupling region where monopoles are light. In two previous works this idea was presented at a qualitative level. In this work we analyze in detail the conjecture and obtain encouraging quantitative agreement with the numerical determination of the monopole mass and the dual photon mass in the vicinity of the Coulomb to confining phase transition.
Cite
@article{arxiv.hep-th/0405015,
title = {Compact lattice U(1) and Seiberg-Witten duality: a quantitative comparison},
author = {D. Espriu and L. Tagliacozzo},
journal= {arXiv preprint arXiv:hep-th/0405015},
year = {2009}
}
Comments
14 pag, 5 figures