Lower dimensional Yang-Mills theory as a laboratory to study the infrared regime
High Energy Physics - Phenomenology
2008-11-26 v1 High Energy Physics - Lattice
Abstract
Lattice studies of the infrared regime of gauge theories are complicated by the required extensive limits, the performed gauge fixing and the demand for high statistics. Using a general power counting scheme for the infrared limit of Landau gauge SU(N) Yang-Mills theory in arbitrary dimensions we show that the infrared behavior of Greens functions is both qualitatively and quantitatively similar in two, three and four spacetime dimensions. Therefore, lower dimensional lattice simulations can serve as a simplified laboratory to analyze the presently applied approximations and to obtain first results for higher correlation functions.
Cite
@article{arxiv.0710.1054,
title = {Lower dimensional Yang-Mills theory as a laboratory to study the infrared regime},
author = {Reinhard Alkofer and Christian S. Fischer and Markus Q. Huber and Kai Schwenzer},
journal= {arXiv preprint arXiv:0710.1054},
year = {2008}
}
Comments
7 pages, 6 figures; talk presented at Lattice 2007