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ID 20315
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creator
QCD-TARO Collaboration
Ph. de Forcrand
M. García Pérez
Hashimoto, Takaaki
Hioki, Shinji
Matsufuru, Hideo
Miyamura, Osamu
Stamatescu, Ion-Olimpiu
Takaishi, Tetsuya
subject
SU(3) lattice gauge theory
Renormalization group flow
Improved action
abstract
We investigate the renormalization group flow of SU(3) lattice gauge theory in two coupling space with β11 of plaquette and β12 of rectangular actions. Extensive numerical calculations of the RG flow are made in the fourth quadrant of the coupling space, i.e., β11 > 0 and β12 < 0. Swendsen's factor 2 blocking and Schwinger-Dyson method are used to find an effective action for the blocked gauge field. Resultant renormalization group flow runs quickly towards an attractive stream which has approximate line shape. This is a numerical evidence of the renormalized trajectory which locates close to the two coupling space. A model flow equation which incorporates a marginal coupling (asymptotic scaling term), an irrelevant coupling and a nonperturbative attraction toward strong coupling limit reproduces qualitatively the observed feature. We further examine scaling property of an action which is closer to the attractive stream than the currently used improved actions. It is found that the action shows excellent restoration of rotational symmetry even for coarse lattices with o ~ 0.4 fm.
journal title
Nuclear Physics B
volume
Volume 577
issue
Issue 1-2
start page
263
end page
278
date of issued
2000-06-19
publisher
Elsevier
issn
0550-3213
ncid
publisher doi
language
eng
nii type
Journal Article
HU type
Journal Articles
DCMI type
text
format
application/pdf
text version
author
rights
Copyright (c) 2000 Elsevier Science B.V.
relation url
department
Graduate School of Science
Information Media Center