On the effect of the lattice asymmetry parameter on the phase structure of SU (N) pure gauge theories

The role of the lattice asymmetry parameter ξ in the phase structure description of the SU(2) and SU(3) gluodynamics at finite temperature has been studied analytically in the SU(N) ≅ Z(N) approach. The properties of thermodynamic quantities have been investigated near the physical border. The effec...

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Bibliographic Details
Published in:Nuclear physics. Section B, Proceedings supplement Proceedings supplement, 1998-04, Vol.63 (1), p.412-414
Main Authors: Averchenkova, L.A., Petrov, K.V., Petrov, V.K., Zinovjev, G.M.
Format: Article
Language:English
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Summary:The role of the lattice asymmetry parameter ξ in the phase structure description of the SU(2) and SU(3) gluodynamics at finite temperature has been studied analytically in the SU(N) ≅ Z(N) approach. The properties of thermodynamic quantities have been investigated near the physical border. The effective action which includes the first non-trivial order from the space-like part allows estimates to be made of the phase structure not only close to the physical border in the whole area of couplings. We find that thermodynamic quantities depend on ξ and this dependence may be strong enough, up to discontinuity over this parameter for some of them. The Hamiltonian formulation of the SU(2) gauge theory on the asymmetric lattice is presented.
ISSN:0920-5632
1873-3832
DOI:10.1016/S0920-5632(97)00786-X