Anisotropic improved gauge actions: perturbative and numerical studies

DOI10.1016/S0920-5632(99)85091-9zbMATH Open1051.81575arXivhep-lat/9810030OpenAlexW2149799205MaRDI QIDQ5961274

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Publication date: 24 April 2002

Published in: (Search for Journal in Brave)

Abstract: The

L a m b d a

parameter on the anisotropic lattice, the spatial and temperature coupling constant

g_{s i g m a}

,

g_{a u}

and their derivative with respaect to the the anisotropy parameter

x i

are studied perturbatively for the class of improved actions, which cover tree level Symanzik's, Iwasaki's and QCDTARO's improved actions. The

e t a (= g_{a u} / g_{s i g m a})

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,

p a r t i a l g_{a u} / p a r t i a l x i

and

p a r t i a l g_{s i g m a} / p a r t i a l x i

, change sign for those improved actions.

Full work available at URL: https://arxiv.org/abs/hep-lat/9810030

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