V. N. Pervushin

Description of supernova data in conformal cosmology without cosmological constant

Abstract We consider cosmological consequences of a conformal-invariant formulation of Einsteins General Relativity where instead of the scale factor of the spatial metrics in the action functional a massless scalar (dilaton) field occurs which scales all masses including the Planck mass. Instead of the expansion of the universe we obtain the Hoyle–Narlikar type of mass evolution, where the temperature history of the universe is replaced by the mass history. We show that this conformal-invariant cosmological model gives a satisfactory description of the new supernova Ia data for the effective magnitude–redshift relation without a cosmological constant and make a prediction for the high-redshift behavior which deviates from that of standard cosmology for z >1.7.

A new QCD inspired version of the Nambu-Jona-Lasinio model

Abstract We use the relativistic generalization of the QCD-inspired nonrelativistic potential model to get, as a separable approximation for low-lying resonances, a modified Nambu-Jona-Lasinio model in a regularized form. In the framework of the latter we describe low-energy resonance physics within the Bethe-Salpeter approach for the three-flavour case.

Hamiltonian cosmological perturbation theory

Abstract The Hamiltonian approach to cosmological perturbations in general relativity in finite space–time is developed, where a cosmological scale factor is identified with spatial averaging the metric determinant logarithm. This identification preserves the number of variables and leads to a cosmological perturbation theory with the scalar potential perturbations in contrast to the kinetic perturbations in the Lifshitz version which are responsible for the “primordial power spectrum” of CMB in the inflationary model. The Hamiltonian approach enables to explain this “spectrum” in terms of scale-invariant variables and to consider other topical problem of modern cosmology in the context of quantum cosmological creation of both universes and particles from the stable Bogoliubov vacuum.

Cosmological production of vector bosons and cosmic microwave background radiation

An intensive cosmological production of vector W and Z bosons is considered within a cosmological model that involves a relative scale of measurement. Field-theory models are studied in which cosmic microwave background radiation and baryon matter may appear as products of the decay of such primordial bosons.

Straight-line paths approximation for studying high-energy elastic and inelastic hadron collisions in quantum field theory

Abstract The problem of the asymptotic behaviour of high-energy elastic and inelastic amplitudes is studied by means of the functional methods of quantum field theory. The straight-line paths approximation (SLPA), making it possible to effectively calculate the functional integrals which arise, is formulated.

Pion polarizability in chiral quantum field theory

Abstract The amplitude for the process γγ → ππ is calculated in the chiral quantum field theory. The values α π (±) = 0.3 α/m π 3 and α π (0) = −0.04 α/m π 3 are found for the pion polarizabilities.

On Abelianization of first class constraints

A systematic method for the conversion of first class constraints to an equivalent set of the Abelian constraints based on the Dirac equivalence transformation is developed. A representation for the corresponding matrix of this transformation is proposed. This representation allows one to reduce the problem of Abelianization to the solution of a certain system of first order linear differential equations for matrix elements.

Tetrad formalism and reference frames in general relativity

This review is devoted to problems of defining the reference frames in the tetrad formalism of General Relativity. Tetrads are the expansion coefficients of components of an orthogonal basis over the differentials of a coordinate space. The Hamiltonian cosmological perturbation theory is presented in terms of these invariant differential forms. This theory does not contain the double counting of the spatial metric determinant in contrast to the conventional Lifshits-Bardeen perturbation theory. We explicitly write out the Lorentz transformations of the orthogonal-basis components from the cosmic microwave background (CMB) reference frame to the laboratory frame, moving with a constant velocity relative to the CMB frame. Possible observational consequences of the Hamiltonian cosmological perturbation theory are discussed, in particular, the quantum anomaly of geometric interval and the shift of the origin, as a source of the CMB anisotropy, in the course of the universe evolution.

Conformal Hamiltonian dynamics of general relativity

The General Relativity formulated with the aid of the spin connection coefficients is considered in the finite space geometry of similarity with the Dirac scalar dilaton. We show that the redshift evolution of the General Relativity describes the vacuum creation of the matter in the empty Universe at the electroweak epoch and the dilaton vacuum energy plays a role of the dark energy.

Admissible gauges for constrained systems.

Gauge-fixing and gaugeless methods for reducing the phase space in generalized Hamiltonian dynamics are compared with the aim to define the class of admissible gauges. In the gaugeless approach, the reduced phase space of a Hamiltonian system with first class constraints is constructed locally, without any gauge fixing, using the following procedure: Abelianization of constraints with a subsequent canonical transformation so that some of the new momenta are equal to the new Abelian constraints. As a result, the corresponding conjugate coordinates are ignorable (nonphysical) while the remaining canonical pairs correspond to the true dynamical variables. This representation of the phase space prompts the definition of the subclass of admissible gauges, canonical gauges, as functions depending only on the ignorable coordinates. A practical method to determine the canonical gauge is proposed. \textcopyright{} 1996 The American Physical Society.