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ID 20314
file
creator
Sakai, Sunao
Saito, Takuya
abstract
On anisotropic lattices with the anisotropy ξ=aσ/aτ the following basic parameters are calculated by perturbative method: (1) the renormalization of the gauge coupling in spatial and temporal directions, gσ and gτ, (2) the Λ parameter, (3) the ratio of the renormalized and bare anisotropy η=ξ/ξB and (4) the derivatives of the coupling constants with respect to ξ, ∂gσ-2/∂ξ and ∂gτ-2/∂ξ. We employ the improved gauge actions which consist of plaquette and six-link rectangular loops, c0P(1×1)μν+c1P(1×2)μν. This class of actions covers Symanzik, Iwasaki and DBW2 actions. The ratio η shows an impressive behavior as a function of c1, i.e., η>1 for the standard Wilson and Symanzik actions, while η<1 for Iwasaki and DBW2 actions. This is confirmed non-perturbatively by numerical simulations in weak coupling regions. The derivatives ∂g-2τ/∂ξ and ∂g-2σ/∂ξ also change sign as -c1 increases. For Iwasaki and DBW2 actions they become opposite sign to those for standard and Symanzik actions. However, their sum is independent of the type of actions due to Karsch's sum rule.
journal title
Nuclear Physics B
volume
Volume 584
issue
Issue 1-2
start page
528
end page
542
date of issued
2000-09-18
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.
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department
Information Media Center