Role of the Asymmetry Parameter in Describing the Phase
Structure of Lattice Gluodynamics at Finite Temperatures

L. A. Averchenkova*, V. K. Petrov, K. V. Petrov, and G. M. Zinovjev

Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine,
Metrologicheskaya ul. 14b, Kiev, 252143 Ukraine

Received October 3, 1996; in final form, March 27, 1997

Abstract—The role of the lattice asymmetry parameter in describing the phase structure of SU(2) gluody-
namics is studied analytically. It is shown that renormalization-group relations, which make it possible to elim-
inate the dependence of thermodynamic quantities on the lattice asymmetry parameter in the “naive” limit, give
no way to do this in the SU(N) Z(N) limit without disturbing results obtained in the naive limit. To eliminate
this dependence, it is necessary to impose an additional condition fixing the parameter .

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