New fixed point action for SU(3) lattice gauge theory

Abstract

We present a new fixed point action for SU(3) lattice gauge theory, which has --- compared to earlier published fixed point actions --- shorter interaction range and smaller violations of rotational symmetry in the static $q\bar{q}$-potential even at shortest distances.Comment: uuencoded latex file, 15 pages 6 figures using macros cite, epsf, dina4, equations, epi

SU(3) surface tension from the lattice with the fixed point action

“…They are in agreement within errors with the results of Ref. [10] where the so called Columbia definition was adopted. 4 The Polyakov loop distribution on the 12 3 ×3 lattice and on the two lattices with N τ = 4 is presented in Fig.…”

“…The tests performed in Ref. [10] provided impressively good results, in comparison with previous parametrizations of the FP action. Moreover, the surface tension depends only on the height of the minimum and of the maxima of the distribution P (|L|), while possible lattice artifacts in the corresponding values of |L| should play a minor role.…”

“…In Ref. [10] the arbitrariness in the choice of the RG transformation has been exploited to define a very rotationally symmetric RG transformation, optimized in order that the related FP action is very short-ranged and, therefore, easier to be parametrized. This RG transformation has been called for historical reasons "type III" RG transformation.…”

“…Results at N τ = 3 are in agreement with the continuum as extrapolated with the Wilson action from lattices with N τ = 6 and 8 [2] and with the results from the tadpole improved action at N τ = 3 and 4 [4] (for a complete review, see also [12]). Table 1: Couplings of the type III parametrized FP action [10].…”

Fixed point SU(3) gauge actions: scaling properties and glueballs

“…For the RGT used here this has been done at finite temperature, however, using a different parametrization of the FP action [4].…”