Scaling study of the step scaling function in SU(3) gauge theory with improved gauge actions

Physical Review D Volume 70 Issue 7 Page 074510- published_at 2004-10
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Title ( eng )
Scaling study of the step scaling function in SU(3) gauge theory with improved gauge actions
Creator
Takeda S
Aoki S
Fukugita M
Ishizuka N
Iwasaki Y
Kanaya K
Kaneko T
Kuramashi Y
Taniguchi Y
Ukawa A
Source Title
Physical Review D
Volume 70
Issue 7
Start Page 074510
Abstract
We study the scaling behavior of the step scaling function for SU(3) gauge theory, employing the renormalization-group improved Iwasaki gauge action and the perturbatively improved Lüscher-Weisz gauge action. We confirm that the step scaling functions from the improved gauge actions agree with that previously obtained from the plaquette action within errors in the continuum limit at both weak and strong coupling regions. We also investigate how different choices of boundary counterterms for the improved gauge actions affect the scaling behavior. In the extrapolation to the continuum limit, we observe that the cutoff dependence becomes moderate for the Iwasaki action, if a perturbative reduction of scaling violations is applied to the simulation results. We also measure the low energy scale ratio with the Iwasaki action and confirm its universality.
Keywords
SU(3) gauge theory
scaling behavior
NDC
Physics [ 420 ]
Language
eng
Resource Type journal article
Publisher
American Physical Society
Date of Issued 2004-10
Rights
Copyright (c) 2004 American Physical Society
Publish Type Version of Record
Access Rights open access
Source Identifier
[ISSN] 1550-7998
[DOI] 10.1103/PhysRevD.70.074510
[DOI] http://dx.doi.org/10.1103/PhysRevD.70.074510