Renormalization group flow of SU(3) lattice gauge theory : Numerical studies in a two coupling space

QCD-TARO Collaboration

Ph. de Forcrand

M. García Pérez

Hashimoto Takaaki

Hioki Shinji

Matsufuru Hideo

Miyamura Osamu

Nakamura Atsushi

Stamatescu Ion-Olimpiu

Takaishi Tetsuya

Umeda Takashi

Nuclear Physics B

We investigate the renormalization group flow of SU(3) lattice gauge theory in two coupling space with β11 of plaquette and β12 of rectangular actions. Extensive numerical calculations of the RG flow are made in the fourth quadrant of the coupling space, i.e., β11 > 0 and β12 < 0. Swendsen's factor 2 blocking and Schwinger-Dyson method are used to find an effective action for the blocked gauge field. Resultant renormalization group flow runs quickly towards an attractive stream which has approximate line shape. This is a numerical evidence of the renormalized trajectory which locates close to the two coupling space. A model flow equation which incorporates a marginal coupling (asymptotic scaling term), an irrelevant coupling and a nonperturbative attraction toward strong coupling limit reproduces qualitatively the observed feature. We further examine scaling property of an action which is closer to the attractive stream than the currently used improved actions. It is found that the action shows excellent restoration of rotational symmetry even for coarse lattices with o ~ 0.4 fm.

SU(3) lattice gauge theory

Renormalization group flow

Improved action

eng

Elsevier

Copyright (c) 2000 Elsevier Science B.V.

[ISSN] 0550-3213

[DOI] 10.1016/S0550-3213(00)00145-0

[NCID] AA00760043

[DOI] http://dx.doi.org/10.1016/S0550-3213(00)00145-0