RG Decimations and Confinement
High Energy Physics - Lattice
2009-11-10 v1
Abstract
We outline the steps in a derivation of the statement that the SU(2) gauge theory is in a confining phase for all values of the coupling, , defined at lattice spacing a. The approach employed is to obtain both upper and lower bounds for the partition function and the `twisted' partition function in terms of approximate decimation transformations. The behavior of the exact quantities is thus constrained by that of the easily computable bounding decimations.
Cite
@article{arxiv.hep-lat/0409019,
title = {RG Decimations and Confinement},
author = {E. T. Tomboulis},
journal= {arXiv preprint arXiv:hep-lat/0409019},
year = {2009}
}
Comments
6 pages, 1 figure, latex using espcrc2.sty, presented at `QCD Down Under', Adelaide, Australia, May 10-19, 2004