Asymmetry Parameter Role in Description of Phase Structure of Lattice Gluodynamics at Finite Temperature

Abstract

The role of lattice asymmetry parameter in description of the SU(2) gluodynamics phase structure at finite temperature is studied analytically. The fact that renormalization group relations which permit to remove the lattice asymmetry parameter from the thermodynamical quantities in the "naive" limit don't do the same in the approximation SU(N) = Z(N) keeping the "naive" limit results at the same time was point out. An additional condition which would fix asymmetry parameter is needed for this dependence removal.