Abstract: In this paper (the second of a series) we extend our calculation of a classical fixed point action for lattice $SU(3)$ pure gauge theory to include gauge configurations with large fluctuations. The action is parameterized in terms of closed loops of link variables. We construct a few-parameter approximation to the classical FP action which is valid for short correlation lengths. We perform a scaling test of the action by computing the quantity $G = L \sigma(L)$ where the string tension $\sigma(L)$ is measured from the torelon mass $= L \sigma(L)$. We measure $G$ on lattices of fixed physical volume and varying lattice spacing $a$ (which we define through the deconfinement temperature). While the Wilson action shows scaling violations of about ten per cent, the approximate fixed point action scales within the statistical errors for $ 1/2 aT_c 1/6$. Similar behaviour is found for the potential measured in a fixed physical volume.
%0 Journal Article
%1 DeGrand:1995jk
%A DeGrand, Thomas A.
%A Hasenfratz, Anna
%A Hasenfratz, Peter
%A Niedermayer, Ferenc
%D 1995
%J Nucl. Phys.
%K Lattice OneLoop PerfectAction SigmaModel SymanzikImprovement
%P 615-637
%R 10.1016/0550-3213(95)00459-6
%T Nonperturbative tests of the fixed point action for SU(3)
gauge theory
%U http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-lat/9506031
%V B454
%X Abstract: In this paper (the second of a series) we extend our calculation of a classical fixed point action for lattice $SU(3)$ pure gauge theory to include gauge configurations with large fluctuations. The action is parameterized in terms of closed loops of link variables. We construct a few-parameter approximation to the classical FP action which is valid for short correlation lengths. We perform a scaling test of the action by computing the quantity $G = L \sigma(L)$ where the string tension $\sigma(L)$ is measured from the torelon mass $= L \sigma(L)$. We measure $G$ on lattices of fixed physical volume and varying lattice spacing $a$ (which we define through the deconfinement temperature). While the Wilson action shows scaling violations of about ten per cent, the approximate fixed point action scales within the statistical errors for $ 1/2 aT_c 1/6$. Similar behaviour is found for the potential measured in a fixed physical volume.
@article{DeGrand:1995jk,
abstract = { Abstract: In this paper (the second of a series) we extend our calculation of a classical fixed point action for lattice $SU(3)$ pure gauge theory to include gauge configurations with large fluctuations. The action is parameterized in terms of closed loops of link variables. We construct a few-parameter approximation to the classical FP action which is valid for short correlation lengths. We perform a scaling test of the action by computing the quantity $G = L \sqrt{\sigma(L)}$ where the string tension $\sigma(L)$ is measured from the torelon mass $\mu = L \sigma(L)$. We measure $G$ on lattices of fixed physical volume and varying lattice spacing $a$ (which we define through the deconfinement temperature). While the Wilson action shows scaling violations of about ten per cent, the approximate fixed point action scales within the statistical errors for $ 1/2 \ge aT_c \ge 1/6$. Similar behaviour is found for the potential measured in a fixed physical volume. },
added-at = {2009-03-05T18:35:47.000+0100},
archiveprefix = {arXiv},
author = {DeGrand, Thomas A. and Hasenfratz, Anna and Hasenfratz, Peter and Niedermayer, Ferenc},
biburl = {https://www.bibsonomy.org/bibtex/26ccaaa2784ba384a9825aa85116ef75b/gber},
description = {SPIRES-HEP: FIND EPRINT HEP-LAT/9506031},
doi = {10.1016/0550-3213(95)00459-6},
eprint = {hep-lat/9506031},
interhash = {6f93dd3d7cf586b1376881deb7b35bf8},
intrahash = {6ccaaa2784ba384a9825aa85116ef75b},
journal = {Nucl. Phys.},
keywords = {Lattice OneLoop PerfectAction SigmaModel SymanzikImprovement},
pages = {615-637},
slaccitation = {%%CITATION = HEP-LAT/9506031;%%},
timestamp = {2009-03-11T17:32:52.000+0100},
title = {{Nonperturbative tests of the fixed point action for SU(3)
gauge theory}},
url = {http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-lat/9506031},
volume = {B454},
year = 1995
}