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ID 20314
本文ファイル
著者
Sakai, Sunao
Saito, Takuya
抄録(英)
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.
掲載誌名
Nuclear Physics B
584巻
1-2号
開始ページ
528
終了ページ
542
出版年月日
2000-09-18
出版者
Elsevier
ISSN
0550-3213
NCID
出版者DOI
言語
英語
NII資源タイプ
学術雑誌論文
広大資料タイプ
学術雑誌論文
DCMIタイプ
text
フォーマット
application/pdf
著者版フラグ
author
権利情報
Copyright (c) 2000 Elsevier Science B.V.
関連情報URL
部局名
情報メディア教育研究センター