abstract

The partial success in interpreting solitary waves, quantized by semiclassical methods, as nucleons in a meson field has obscured fundamental questions of a semiclassical approach. A review of these problems is presented in this paper and one alternative non-semiclassical approach to quantization is discussed.

abstract

Using the Bogoliubov–Valatin variational method we have analyzed the effect of the Coulomb potential on the chiral symmetry breaking in the pairing model of QCD. The renormalized gap equation for massless quarks interacting through the Lorentz vector potential \(V(\vec r)\sim \sigma r - \frac {\alpha _{\rm s}}{r}\) is solved numerically. An alternative derivation of the gap equation based on the Schwinger–Dyson equation is discussed. We also study the influence of the Coulomb term on the equation for the pion vertex function and on the pion properties. The chiral parameters and pion characteristics arc also calculated in the baryonic background.

abstract

An analytic method of asymptotically solving the Breit relativistic equation is presented for a system of two spin-1/2 particles of equal masses bound in parastates by the Coulomb attraction.

abstract

We analyze evolution of the Higgs field in the minimal SU(5) grand unified theory and we show that only in a narrow range of parameters symmetry is broken directly to SU(3) \(\times \) SU(2) \(\times \) U(l) but there is no inflation. Inflation is possible but then the SU(5) group is broken to SU(4) \(\times \) U(1). During the inflationary era temperature never becomes very low and after releasing the latent heat the universe is reheated to temperature comparable to the critical temperature.

abstract

We calculate thermal conductivity, electric conductivity and shear viscosity of hypothetical strange star matter. Transport coefficients are calculated using variational solutions of kinetic equation for a normal degenerate quark plasma. All considered transport processes are dominated by quarks. Color screened QCD scattering largely dominates over the Coulomb scattering of quarks. At the same density and temperature, transport coefficients of strange star matter are about an order of magnitude larger than those of normal neutron star matter. The influence of strong magnetic field presumably accompanying strange stars on transport processes is studied.