On the lifetime of a cold dark matter particle and the cosmological diffuse photon background

We show that a Majorana heavy neutrino with a mass O(100TeV) is a good candidate particle for cold dark matter. It can be responsible for the majority of the cosmological diffuse photon background owing to lifetime of the order of O(10^(25)s), dominantly fixed by the radiative two-body decay. The lifetime is suppressed by two mechanisms: the leptonic GIM cancellation and the see-saw weak coupling suppression. As a fermion cold dark matter particle, a heavy neutrino favours the average mass density of the Universe constrained by the Einstein-Cartan cosmology.Comment: 18 pages, LaTeX style, numerics revisited, one reference adde

On the evolution of the cosmic-mass-density contrast and the cosmological constant

We study the evolution of the cosmic-mass-density contrast beyond the Robertson-Walker geometry including the small contribution of acceleration. We derive a second-order evolution equation for the density contrast within the spherical model for CDM collisionless fluid including the cosmological constant, the expansion and the non-vanishing vector of acceleration. While the mass-density is not seriously affected by acceleration, the mass-density contrast changes its shape at smaller redshifts even for a small amount of the acceleration parameter. This could help to resolve current controversial results in cosmology from measurements of WMAP, gravitational lensing, XMM X-ray cluster or type Ia supernovae data, etc.Comment: 9 pages, 3 figures; three typos correcte

On primordial cosmological density fluctuations in the Einstein-Cartan gravity and COBE data

We study cosmological density fluctuations within a covariant and gauge-invariant fluid-flow approach for a perfect fluid in the Einstein-Cartan gravity and derive the corresponding Raychaudhuri type of inhomogeneous coupled differential evolution equations of the second order. It appears that the quantum fluctuations of spin trigger primordial density inhomogeneities at the scale of weak interactions. These inhomogeneities are then evolved precisely to the value measured be COBE mission at the scale of decoupling.Comment: 10 pages, LaTeX styl

On high-redshift quasar absorption spectra and the Riemannian geometry of the Universe

We study the observed small deviations of high-redshift absorption spectra that are interpreted as a possible evidence for a variable fine structure constant. On the contrary, we claim that the effect could be completely attributed to the small amount of cosmic shear beyond the standard Friedmann expanding Universe.Comment: LaTeX style, 5 page

On the anomalous acceleration in the solar system

We study the impact of the cosmological environment on the solar gravitational system by the imbedding formalism of Gautreau. It appears that the cosmic mean-mass density and the cosmological constant give negligibly small contribution to gravity potentials. On the contrary, the cosmic acceleration beyond the Robertson-Walker geometry can considerably influence the curvature of spacetime in the solar system. The resulting anomalous constant acceleration towards the Sun is an order of magnitude smaller than that measured by Pioneer 10 and 11. However, it is larger than second order terms of potentials, thus well within the sensitivity of new gravity probes such as the LATOR mission.Comment: LaTeX style, 4 pages; version to be publishe

On the quantum loop weak interaction corrections at high energies

We perform comparative analyses of quantum loop corrections to some observationally important two- and three-point Green functions within two distinct symmetry-breaking mechanisms. It appears that the existing high-energy data, neutrino experiments and present astrophysical and cosmological constraints strongly disfavour the Higgs mechanism, while the introduction of the noncontractible space as a symmetry-breaking mechanism can resolve all known problems and puzzles of fundamental interactions.Comment: LaTeX style, 13 pages, 2 figures, 3 table

On heavy Majorana neutrinos as a source of the highest energy cosmic rays

Cosmic ray events beyond the Greisen-Zatsepin-Kuzmin cut-off represent a great challenge for particle physics and cosmology. We show that the physics of heavy Majorana neutrinos, well defined by their masses, cross sections and lifetimes, could explain the highest energy cosmic rays as a consequence of the galactic annihilation of heavy neutrinos as cold dark matter particles. Galactic nuclei accelerators, colliding neutron stars (black holes) or shocks from the collapsed objects could produce ultra high energy cosmic rays as heavy neutrinos beyond the mass threshold at an arbitrary cosmic distance. We comment and also analyse the DAMA results with regard to heavy neutrinos as galactic halo CDM particles.Comment: LaTeX2e style, 11 pages, 3 figures; two typos correcte

On the vorticity of the Universe

Recent analyses of the first-year WMAP data claim large-scale asymmetry and anisotropy of the CMBR fluctuations. We argue that the covariant and gauge invariant treatment of density fluctuations formulated by Ellis and Bruni can explain the asymmetric and anisotropic WMAP data by including the vorticity of the Universe. It appears that the spatial gradients of the density contrast are proportional to the vorticity of the Universe, thus allowing measurements and quantifications of the magnitude and axis of the possible cosmological rotation.Comment: 7 pages, published versio

Covariant model of a quarkonium with the funnel potential

The bound--state problem for the pion as a quarkonium with the funnel (Coulomb--plus--linear) interaction is solved in a framework that combines the bilocal approach to mesons with the covariant generalization of the instantaneous--potential model. The potential interaction leads to dynamical breaking of chiral symmetry. However, the Coulomb potential leads to ultraviolet divergences that must be subtracted. A careful choice of the renormalization prescription is needed in order to get the correct chiral limit. The mass, the lepton decay constant of the pion, as well as the pion decay width in two photons are calculated.Comment: 26 pages, RevTeX, 9 figures in uuencoded postscript files. ZTF-93/9-

On Dyson-Schwinger equations and the number of fermion families

We study Dyson-Schwinger equations for propagators of Dirac fermions interacting with a massive gauge boson in the ladder approximation. The equations have the form of the coupled nonlinear integral Fredholm equations of the second kind in the spacelike domain. The solutions in the timelike domain are completely defined by evaluations of integrals of the spacelike domain solutions. We solve the equations and analyze the behavior of solutions on the mass of the gauge boson, the coupling constant, and the ultraviolet cutoff. We find that there are at least two solutions for the fixed gauge boson mass, coupling, and the ultraviolet cutoff, thus there are at least two fermion families. The zero-node solution represents the heaviest Dirac fermion state, while the one-node solution is the lighter one. The mass gap between the two families is of the order of magnitude observed in nature