O.K. Kalashnikov

Phase transition in the quark-gluon plasma

Abstract A number of constructive arguments in favour of the existence of a phase transition in the quark-gluon plasma is presented and the domain of its existence is specified. Our conclusions are based on investigations of the thermodynamical potential for this system.

Asymptotically free SU (5) model of unified interaction

An asymptotically free SU (5) model of the strong, electromagnetic and weak interaction is built within a single gauge group. The gauge coupling constant is chosen to be of order of the electromagnetic coupling. The strong interaction of quarks is provided by gluonic mechanism. Some physical consequences of this model are briefly discussed.

The stability of asymptotic freedom in grand unified models coupled to R2-gravity

Abstract A GUT that interacts with a quantized gravitational field within the R 2 -gravity model is considered. Contributions from the gravity-sector to the renormalization group equations for the effective Yukawa and scalar coupling constants are investigated. It is shown that restrictions on the GUT from requiring asymptotic freedom are reduced by taking into account interactions with gravity allowing new grand-unified models which are asymptotically free in all the coupling constants to be constructed.

Infrared instability of QCD at finite temperatures

Abstract The infrared behaviour of the transversal gluon propagator in QCD at T ≠0 is investigated within the ghost-free axial gauge. The singularities found in this propagator for the momentum p ∼ g 2 T remain for any choice of the gauge and indicate the infrared instability of QCD at finite temperatures.

SPONTANEOUS SYMMETRY BREAKING AND GAUGE INTERACTION HIERARCHY

Abstract Following the calculations of the effective potential in the one-loop approximation it is shown that within gauge theories a spontaneous symmetry breaking may provide a gauge hierarchy of any desired magnitude.

Asymptotically free SU(3) model of strong interactions

Abstract An asymptotically free SU(3) model of strong interactions with massive vector fields is built. The fields are put into correspondence with the physical particles. The quark modification of this model is discussed also.

Infrared behavior of the polarization operator in scalar electrodynamics at finite temperature

Abstract The infrared behavior of the polarization operator in massless scalar electrodynamics is investigated. We find that in any order of perturbation theory the transversal photons are not screened by the thermal fluctuations while the longitudinal ones are.

On the possibility of a test of the cosmology of asymptotically free SU(5) theory

Abstract Asymptotically free models of grand unification predict the existence of metastable superheavy fermions, determining the evolution of the very early universe. The estimates of the influence of such fermions on the baryon asymmetry of the universe, on premordial black hole formation, and on the abundance of light elements provide stringent restrictions both on the parameters of grand unified models and on possible scenarios of the evolution of the very early universe.

Asymptotically free SU(2) × SU(2) × SU(4) model of unified interaction

Abstract An asymptotically free SU(2) × SU(2) × SU(4) model of unified interaction is constructed. The gauge coupling constants are taken equal (in the order of magnitude) to the electromagnetic one. The strong interaction and the quark confinement is provided for by a gluonic mechanism. Some physical consequence of the model are briefly discussed.

Gauge fields condensation at finite temperature

The two-loop effective action for the SU(3) gauge model in a constant background field