Anisotropic Improved Gauge Actions; --Perturbative and Numerical Studies --

Details Anisotropic Improved Gauge Actions; --Perturbative and Numerical Studies -- Anisotropic Improved Gauge Actions; --Perturbative and Numerical Studies --

1998-10-14

arxiv.org/abs/hep-lat/9810030v3

Nucl.Phys.Proc.Suppl. 73 (1999) 417-419

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE98(hightemp), 3 pages in latex, 4 Postscript figures Fonts in Fig3 is replaced Arial

Scientific paper

10.1016/S0920-5632(99)85091-9

The $\Lambda$ parameter on the anisotropic lattice, the spatial and temperature coupling constant $g_{\sigma}$, $g_{\tau}$ and their derivative with respaect to the the anisotropy parameter $\xi$ are studied perturbatively for the class of improved actions, which cover tree level Symanzik's, Iwasaki's and QCDTARO's improved actions. The $\eta(=g_{\tau}/g_{\sigma})$ 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, $\partial g_{\tau}/\partial \xi$ and $\partial g_{\sigma}/\partial \xi$, change sign for those improved actions.

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