A.M. Zadorozhny

The Density of monopoles in SU(2) lattice gauge theory

Abstract We investigate the density ϱ of monopoles in SU(2) gauge theory. We find some evidence for scaling behavior, suggesting that ϱ is a physical quantity. The value ϱ = (66 Λ L ) 3 is obtained. Below a certain critical volume the monopole density rapidly decreases.

Phase structure of the SU(2) lattice gauge Higgs theory

Abstract Phase structure of the SU(2) lattice gauge Higgs theory is investigated by the Monte Carlo method and by an approximate calculation of an effective potential. Higgs fields are considered in the fundamental representation, and the radial mode of Higgs fields is not frozen. Two different radial measures for a radially varied Higgs field are used. Phase diagrams of the theory are determined, and a strong dependence on the choice of radial measure of scalar fields is manifested.

External field dependence in SU(2) lattice theory

Abstract We study SU(2) gauge theory in the presence of a constant chromomagnetic background field. For large fields we observe qualitative agreement with the one-loop perturbative expression for the energy density.

SU(2) lattice gauge theory with an external field

Abstract The properties of pure gauge SU(2) lattice theory in the presence of background constant chromomagnetic field H are studied. We calculate the contributions of electric and magnetic modes to the internal energy both in the confinement and deconfinement phases. The dependence of the magnetic part of the energy on H is positive and consistent with the H 2 behaviour up to possible logarithmic corrections. At the same time the dependence of the electric component differs drastically from the magnetic one.

The temperature phase transition in SU (2) gauge theory

Abstract The distribution function P( L ) of the order parameter is studied for pure SU (2) gauge theory on a 4 x 83 lattice. It is shown that the study of P( L ) gives the possibility to determine the thermal string 〈L〉, the critical temperature ϑc, the susceptib ility χ, etc. with good accuracy.

The phase structure of the SU(3) lattice Gauge-Higgs model

Abstract The phase structure of SU(3) symmetric gauge-Higgs theory with a fluctuating radial mode is investigated. The Higgs fields are considered in the fundamental representation of SU(3). It is shown that the phase structures of SU(3) and SU(2) symmetric models coincide qualitatively.

Phase structure of the SO(3) Georgi-Glashow model

Abstract The Monte Carlo method is applied to study the phase structure of the SU(2) gauge-Higgs model in the adjoiny representation (SO(3) Georgi-Glashow model). Phase diagrams are constructed at various values of the scalar self-interaction constant.

Investigation of the vacuum structure of the Georgi-Glashow model on the lattice

Distributions and correlations of magnetic fluxes as well as correlations between magnetic fluxes and other local observables are calculated numerically in order to explain the phase structure of the 4D Georgi-Glashow model on the lattice. We use and compare different definitions of magnetic fluxes. The data suggest a simple picture characterizing typical magnetic fluctuations in different regions of the phase space. A relaxation procedure exposes Abelian monopole-loop configurations in one of the phases.

Magnetic fluctuations in the quantised vacuum of the Georgi-Glashow model on the lattice

Abstract We study the influence of electromagnetic fluctuations on the phase structure of the 4D Georgi-Glashow model on the lattice. The distributions of electromagnetic fluxes and different correlations were measured using the Monte Carlo method.

Specific heat in the pure gauge SU(2) theory

Abstract We calculated the specific heat C v in pure gauge SU(2) theory. Calculations were done on the 3·8 3 lattice in the vicinity of the phase transition temperature. It is shown that the dependence of its electric ( C E v ) and magnetic ( C M V ) compone nts differ drastically near the phase transition point. Their behaviour is in full agreement with our previous calculations of the electric and magnetic components of the internal energy density and pressure.