Anisotropic Improved Gauge Actions; --Perturbative and Numerical Studies --
Sunao Sakai, Atsushi Nakamura, Takuya Saito
Abstract
The Λ parameter on the anisotropic lattice, the spatial and temperature coupling constant gσ, gτ and their derivative with respaect to the the anisotropy parameter ξ are studied perturbatively for the class of improved actions, which cover tree level Symanzik's, Iwasaki's and QCDTARO's improved actions. The η(=gτ/gσ) becomes less than 1 for Iwasaki's and QCDTARO's action, which is confirmed nonperturbatively by numerical simulations. Derivatives of the coupling constants with respect to the anisotropy parameter, ∂ gτ/∂ ξ and ∂ gσ/∂ ξ, change sign for those improved actions.
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