Improved gauge action on an anisotropic lattice II - Anisotropy parameter in the medium coupling region -
Abstract
The quantum correction of the anisotropy parameter, η, is calculated for =2 and 3 in the β region where numerical simulations such as hadron spectroscopy are currently carried out, for the improved actions composed of plaquette and rectangular 6-link loops. The β dependences of η for the renormalization group improved actions are quite different from those of the standard and Symanzik actions. In Iwasaki and DBW2 actions, η stays almost constant in a wide range of β, which also differs from the one-loop perturbative result, while in the case of Symanzik action, it increases as β decreases, which is qualitatively similar to the perturbative result, but the slope is steeper. In the calculation of the η parameter close to and in the confined phase, we have applied the link integration method to suppress the fluctuation of the gauge fields. Some technical details are summarized.
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