Lower dimensional Yang-Mills theory as a laboratory to study the infrared regime
arXiv:0710.1054
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.
7 pages, 6 figures; talk presented at Lattice 2007
References in corpus (7)
- Infrared Properties of QCD from Dyson-Schwinger equations
- Scaling behavior and positivity violation of the gluon propagator in full QCD
- Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II
- Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
- Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
- The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
- Infrared Gluon and Ghost Propagator Exponents From Lattice QCD