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arXiv · hep-lat/0301029

Renormalization group improved action on anisotropic lattices

S. Ejiri·K. Kanaya·Y. Namekawa·T. Umeda
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Abstract

We study a block spin transformation in the SU(3) lattice gauge theory on anisotropic lattices to obtain Iwasaki's renormalization group improved action for anisotropic cases. For the class of actions with plaquette and $1\times2$ rectangular terms, we determine the improvement parameters as functions of the anisotropy $ξ= a_s/a_t$. We find that the program of improvement works well also on anisotropic lattices. From a study of an indicator which estimates the distance to the renormalized trajectory, we show that, for the range of the anisotropy $ξ\approx 1$--4, the coupling parameters previously determined for isotropic lattices improve the theory considerably.

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S. Ejiri, K. Kanaya, Y. Namekawa, T. Umeda. 2003-05-14. Renormalization group improved action on anisotropic lattices. https://doi.org/10.1103/physrevd.68.014502

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