Renormalization group improved action on anisotropic lattices

Details Renormalization group improved action on anisotropic lattices Renormalization group improved action on anisotropic lattices

2003-01-30

arxiv.org/abs/hep-lat/0301029v2

Phys.Rev. D68 (2003) 014502

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages, 10 figures

Scientific paper

10.1103/PhysRevD.68.014502

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 $\xi= a_s/a_t$. 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 $\xi \approx 1$--4, the coupling parameters previously determined for isotropic lattices improve the theory considerably.

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