abstract

The Lorentz Invariance conditions in Instantaneous Predictive Relativistic Dynamics are integrated in the case of one dimensional motion of two particles. The physically realistic models expressed in terms of non-relativistic potential are constructed in implicit form. The iteration procedure giving an explicit form of dynamics describing the unbound motions is presented and an asymptotic explicit form of dynamics describing the case of weak interaction between particles is found. Trajectories of particles are presented in parametric form. Some new simple solutions of Currie—Hill equations are found.

abstract

The effects of changes of quark distributions inside nuclei, as given by different models of the EMC effect, on the pion-induced cross section for the Drell–Yan process are investigated. The predictions of different models are consistent with each other and indicate visible changes in the cross section, as compared to the naive expectations.

abstract

We consider the lattice Abelian Higgs model with frozen radial degrees of freedom using the mean-field approximation with corrections. The free energy corrections contain essential \(O\)(1) and \(O(1/d)\) terms. In the weak coupling region the behaviour of the frequencies arising in the expansion of action allows one to distinguish the Higgs from the Coulomb phases. Analytical results are presented for all phase transition lines. The phase structure obtained is in qualitative agreement with Monte-Carlo calculations for Higgs charges \(q = 1\), 2 and 6.

abstract

The statistical thermodynamics of hot dense matter is developed as a covariant extension of the Landau quasi-particle theory of Fermi liquids. The basic postulate is that the thermodynamic potential is a functional of one-particle distribution functions. The formalism is given a microscopic foundation by a study of perturbative QED at finite temperature and density. It is shown that a QED plasma can be pictured as a collection of stable quasi-electrons and positrons plus damped collective modes. The transverse plasmon effect is discussed briefly.