Temporal correlator in YM^2_3 and reflection-positivity violation
High Energy Physics - Lattice
2009-11-10 v1
Abstract
We consider numerical data for the lattice Landau gluon propagator obtained at very large lattice volumes in three-dimensional pure SU(2) Yang-Mills gauge theory (YM^2_3). We find that the temporal correlator C(t) shows an oscillatory pattern and is negative for several values of t. This is an explicit violation of reflection positivity and can be related to gluon confinement. We also obtain a good fit for this quantity in the whole time interval using a sum of Stingl-like propagators.
Keywords
Cite
@article{arxiv.hep-lat/0408022,
title = {Temporal correlator in YM^2_3 and reflection-positivity violation},
author = {A. R. Taurines and A. Cucchieri and T. Mendes},
journal= {arXiv preprint arXiv:hep-lat/0408022},
year = {2009}
}
Comments
3 pages, 1 figure, 1 table, presented by A.R. Taurines at the IX Hadron Physics and VII Relativistic Aspects of Nuclear Physics Workshops, Angra dos Reis, Rio de Janeiro, Brazil (March 28--April 3, 2004)