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In the context of reviewing noncompact lattice gauge models at zero and finite temperature we study in detail a contribution of the invariant measure and the time-like plaquette configurations to correlation functions, analyze the problem of the compactness of the potentials in respect to the confinement and indicate the essential features to deal with the(More)
The role of lattice asymmetry parameter ξ in description of the SU (2) gluodynamics phase structure at finite temperature is studied analytically. The fact that renormal-ization 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) ≃(More)
The potential between sources in arbitrary representations of the gauge group is studied on an anisotropic lattice in a spherical model approximation. It is shown analytically that for half-integer j and j ′ in the confinement phase the potential rises linearly , whereas for integer j and half-integer j ′ it rises infinitely which means a strong suppression(More)
Analytical study of fermion determinant and chiral condensate behavior at finite temperatures in toy model approximation. Abstract Fermion determinant is computed analytically on extremely large lattices N τ → ∞ in the toy model approximation in which action is truncated so that in the Hamiltonian limit of a τ → 0 all terms of order a τ /a σ are discarded.(More)