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)
Asymptotic expansions for a wide class of distribution are studied. Simple method for the computation of the series coefficients is suggested. The case when regularization parameter of distribution depends on the asymptotic parameter is considered.
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)
It is shown that in asymptotic transition from Fourier series to integrals an error and ambiguity may arise. Ambiguity reduces to a possibility of addition of some distribution to the result. Properties of such distributions are studied and conditions are established under which ambiguity doesn't arise. Method for correction computation is suggested and… (More)
Model for studying coupling dependence on lattice spacing a in gluo-dynamics is suggested. The model predicts g → g0 > 0 with a → 0. Free energy density in the model does not depend on temperature.
Transition from Fourier series to Fourier integrals is considered and error introduced by ordinary substitution of integration for summing is estimated. Ambiguity caused by transition from discrete function to continuous one is examined and conditions under which this ambiguity does not arise are suggested.
A probabilistic model for computer-based generation of a machine translation system on the basis of English-Russian parallel text corpora is suggested. The model is trained using parallel text corpora with pre-aligned source and target sentences. The training of the model results in a bilingual dictionary of words and " word blocks " with relevant… (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)