Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2003-11-13
Phys.Rev. D69 (2004) 114504
Physics
High Energy Physics
High Energy Physics - Lattice
21 pages, 10 figures
Scientific paper
10.1103/PhysRevD.69.114504
The quantum correction of the anisotropy parameter, $\eta$, is calculated for $\xi=2$ and 3 in the $\beta$ 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 $\beta$ dependences of $\eta$ for the renormalization group improved actions are quite different from those of the standard and Symanzik actions. In Iwasaki and DBW2 actions, $\eta$ stays almost constant in a wide range of $\beta$, which also differs from the one-loop perturbative result, while in the case of Symanzik action, it increases as $\beta$ decreases, which is qualitatively similar to the perturbative result, but the slope is steeper. In the calculation of the $\eta$ 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.
Nakamura Atsushi
Sakai Sunao
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