Searcharxiv⌕ Search

arXiv subjects

V. N. Pervushin

Publications and source records attributed to V. N. Pervushin.

At least 37 records · Page 2Linked to original sources
arXiv2007

On Hamiltonian Approach to Standard Model

The vector bosons models including Standard Model (SM) are investigated in the framework of the Dirac Hamiltonian method with explicit resolving the Gauss constraints in order to eliminate variables with zero momenta and negative energy contributions in accordance with the operator quantization principles. The Hamiltonian formulation admits the dynamic version of the Higgs potential, where its constant parameter is replaced by the dynamic zero Fourier harmonic of the very Higgs field. In this case, the zero mode equation is a new sum-rule that predicts mass of Higgs field $m_h=\sqrt{6m^2_t-4[2M_W^2+M_Z^2]}=311.6\pm 8.9 {\rm GeV}$. The Hamiltonian formulation leads to static interactions playing the crucial role in the off-mass-shell phenomena of the type of bound state and a kaon - pion transition in the weak nonleptonic decays.

hep-th↗
arXiv2007

Hamiltonian Approach to Conformal Coupling Scalar Field in the General Relativity

The dynamic status of scalar fields is studied in the Hamiltonian approach to the General Relativity. We show that the conformal coupling of the scalar field violates the standard geometrical structure of the Einstein equations in GR and their solutions including the Schwarzschild one and the Newton static interaction. In order to restore the standard geometrical structure of GR, the scalar field is mixed with the scale metric component by the Bekenstein type transformation. This "scalar-scale" mixing converts the conformal coupling scalar field with conformal weight (n= -1) into the minimal coupling scalar field with zero conformal weight (n=0) called a "scalar graviton". Cosmological consequences of the "scalar-scale" mixing are considered in the finite space-time by extraction of the zero mode (homogeneous) harmonics of a "scalar graviton". The classical dynamics of "scalar graviton" testifies about a tremendous contribution of evolution at the beginning in the form of the rigid state.

gr-qc↗
arXiv2006

Hamiltonian General Relativity in CMB frame

A collection of requirements to the General Relativity that follow from the WMAP observations of the Cosmic Microwave Background radiation anisotropy as an inertial frame are discussed. These obligations include the separation of both the CMB frame from the diffeomorphisms and the diffeo-invariant cosmic evolution from the local scalar metric component in the manner compatible with the canonical Hamiltonian approach to the Einstein--Hilbert theory with the energy constraints. The solution of these constraints in classical and quantum theories and a fit of units of measurements are discussed in the light of the last Supernovae data.

gr-qc↗
arXiv2006

Kinetic description of fermion production in the oscillator representation

We investigate the fermion creation in quantum kinetic theory by applying ``oscillator representation'' approach, which was earlier developed for bosonic systems. We show that in some particular cases (Yukawa-like interaction, fixed direction of external vector field) resulting Kinetic Equation (KE) reduces to KE obtained by time-dependent Bogoliubov transformation method. We conclude ``oscillator representation'' approach to be more universal for the derivation of quantum transport equations in strong space-homogeneous time-dependent fields. We discuss some possible applications of obtained KE to cosmology and particle production in strong laser fields.

astro-ph↗
arXiv2006

Conformal Cosmological Model Test with Distant SNIa Data

Assuming that supernovae type Ia (SNe Ia) are standard candles one could use them to test cosmological theories. The Hubble Space Telescope team analyzed 186 SNe Ia (Riess et al. (2004)) to test the standard cosmological model (SC) and evaluate its parameters. We use the same sample to determine parameters of Conformal Cosmological models (CC). We concluded, that really the test is extremely useful and allows to evaluate parameters of the model. From a formal statistical point of view the best fit of the CC model is almost the same quality approximation as the best fit of SC model with $Ω_Λ=0.72, Ω_m=0.28$. As it was noted earlier, for CC models, a rigid matter component could substitute the $Λ$-term (or quintessence) existing in the SC model.

astro-ph↗
arXiv2006

Enhancement of the K --> pi Transition by the Instantaneous Weak Interactions

The hadrodynamics of the instantaneous weak interactions (IWI) in Standard Model is considered supposing the resonance nature of the chiral hadronization of quark currents in QCD. Exploiting this supposition and QCD symmetries the IWI mechanism of enhancement of the K+ --> pi+ transition probability is obtained and relations between electroweak meson form factors and the amplitudes of the processes K+ --> pi+ e+ e-(mu+ mu-,nu anti-nu) and K+ pi- --> e+ e-(mu+ mu-, nu anti-nu) are estalished. We estimate possible parameters of the K+ --> pi+ e+ e- decay rate in NA48/2 CERN experiment using the chiral perturbation theory.

hep-ph↗
arXiv2006

Instantaneous Interactions in Standard Model

Instantaneous interactions in Standard Model are derived by the resolution of the Gauss constraints in inertial reference frames defined as irreducible representations of the Poincare group. The relativistic covariant and gauge-invariant S-matrix is constructed with taking into account instantaneous interactions. Physical effects formed by the instantaneous interactions are discussed, including the enhancement in the kaon --> pion transition probability and the nonleptonic and semileptonic kaon decays. The low-energy relations between these decay probability amplitudes and meson form factors are established. Exploiting these relations we estimate possible parameters of the differential K \to πe^+ e^- decay rate in the NA48/2 CERN experiment.

hep-ph↗
arXiv2006

The Hamiltonian approach to General Relativity and CMB primordial spectrum

Approaches to solutions of problems of the energy, time, Hamiltonian operator quantization of the General Relativity, the creation of the Universe from vacuum are considered in the frame of reference associated with the CMB radiation in order to describe parameters of this radiation in terms of the parameters of the Standard Model of elementary particles.

hep-th↗
arXiv2006

Solution of Constraints in Theory of Relativistic String

The Hamiltonian theory of a relativistic string is considered in a specific reference frame in terms the diffeo-invariant variables. The evolution parameter and energy invariant with respect to the time-coordinate transformations are constructed, so that the dimension of the kinemetric group of diffeomorphisms coincides with the dimension of a set of variables whose velocities are removed by the Gauss-type constraints in accordance with the second Noether theorem. This coincidence allows us to solve the energy constraint, and fulfil Dirac's Hamiltonian reduction.

hep-th↗
arXiv2006

Bogoliubov's Integrals of Motion in Quantum Cosmology and Gravity

Quantum Cosmology and Gravity are formulated here as the primary and secondary quantizations of the energy constraints by analogy with the historical formulation of quantum field theory. New fact is that both the Universe and its matter are created from stable vacuum obtained by the Bogoliubov-type transformation just as it is in the theory of quantum superfluid liquid. Such the Quantum Gravity gives us possibility to explain topical problems of cosmology by the cosmological creation of universes and particles from vacuum.

gr-qc↗
arXiv2005

Hamiltonian Cosmological Perturbation Theory

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.

hep-th↗
arXiv2005

Hamiltonian General Relativity in Finite Space and Cosmological Potential Perturbations

The Hamiltonian formulation of general relativity (GR) is considered in finite space-time and a specific frame of reference given by the diffeo-invariant components of the Fock simplex in terms of the Dirac -- ADM variables. The evolution parameter and energy invariant with respect to the time-coordinate transformations are constructed by the separation of the cosmological scale factor and its identification with the spatial averaging of the metric determinant, so that the dimension of the kinemetric group of diffeomorphisms coincides with the dimension of a set of variables whose velocities are removed by the Gauss-type constraints in accordance with the second Nöther theorem. This coincidence allows us to solve the energy constraint, fulfil Dirac's Hamiltonian reduction, and to describe the potential perturbations in terms of the Lichnerowicz scale-invariant variables distinguished by the absence of the time derivatives of the spatial metric determinant. It was shown that the Hamiltonian version of the cosmological perturbation theory acquires attributes of the theory of superfluid liquid, and it leads to the generalization of the Schwarzschild solution. The astrophysical application of this approach to GR is considered under supposition that the Dirac -- ADM Hamiltonian frame is identified with that of the Cosmic Microwave Background radiation distinguished by its dipole component in the frame of an Earth observer.

astro-ph↗
arXiv2005

Quantum Gravity as Theory of "Superfluidity"

A version of the cosmological perturbation theory in general relativity (GR) is developed, where the cosmological scale factor is identified with spatial averaging of the metric determinant logarithm and the cosmic evolution acquires the pattern of a superfluid motion: the absence of "friction-type" interaction, the London-type wave function, and the Bogoliubov condensation of quantum universes. This identification keeps the number of variables of GR and leads to a new type of potential perturbations. A set of arguments is given in favor of that this "superfluid" version of GR is in agreement with the observational data.

gr-qc↗
arXiv2005

CMBR anisotropy: theoretical approaches

The version of the cosmological perturbation theory based on exact resolution of energy constraint is developed in accordance with the diffeomorphisms of general relativity in the Dirac Hamiltonian approach. Such exact resolution gives one a possibility to fulfil the Hamiltonian reduction and to explain the ``CMBR primordial power spectrum'' and other topical problems of modern cosmology by quantization of the energy constraint and quantum cosmological origin of matter.

astro-ph↗
arXiv2005

Quantum Cosmological Origin of Universes

A direct pathway from Hilbert's ``Foundation of Physics'' to Quantum Gravity is established through Dirac's Hamiltonian reduction of General Relativity and Bogoliubov's transformation by analogy with a similar pathway passed by QFT in 20th century. The cosmological scale factor appears on this pathway as a zero mode of the momentum constraints treated as a global excitation of the Landau superfluid liquid type. This approach would be considered as the foundation of the well--known Lifshitz cosmological perturbation theory, if it did not contain the double counting of the scale factor as an obstruction to the Dirac Hamiltonian method. After avoiding this ``double counting'' the Hamiltonian cosmological perturbation theory does not contain the time derivatives of gravitational potentials that are responsible for the CMB ``primordial power spectrum'' in the inflationary model. The Hilbert -- Dirac -- Bogoliubov Quantum Gravity gives us another possibility to explain this ``spectrum'' and other topical problems of cosmology by the cosmological creation of both universes and particles from Bogoliubov's vacuum. We listed the set of theoretical and observational arguments in favor of that the CMB radiation can be a final product of primordial vector W-, Z- bosons cosmologically created from the vacuum when their Compton length coincides with the universe horizon. The equations describing longitudinal vector bosons in SM, in this case, are close to the equations of the inflationary model used for description of the ``power primordial spectrum'' of the CMB radiation.

gr-qc↗
arXiv2004

Hamiltonian Cosmological Dynamics of General Relativity

The Hamiltonian approach to General Relativity is developed similarly to the Wheeler-DeWitt Hamiltonian cosmology, where the cosmological scale factor is treated as a time-like dynamic variable and its canonical momentum is considered as an evolution generator in the field space of events with the postulate about a physical vacuum as a state with the minimal eigenvalue of this generator. The cosmological scale factor is extracted from the Hamiltonian General Relativity without double counting of the spatial metric determinant in contrast to the standard cosmological perturbation theory. The Friedmann-like equations in the exact theory are derived. A new version of cosmological perturbation theory keeps the form of the Newton interactions in an early Universe. We show how the considered Hamiltonian approach to GR can solve the topical problems of modern cosmology and quantum theory of gravitation. cosmology and quantum theory of gravitation.

astro-ph↗
arXiv2004

Monopole Vacuum in Non-Abelian Theories

It is shown that, in the theory of interacting Yang -Mills fields and a Higgs field, there is a topological degeneracy of Bogomol'nyi-Prasad-Sommerfield (BPS) monopoles and that there arises, in this case, a chromoelectric monopole characterized by a new topological variable that describes transitions between topological states of the monopole in the Minkowski space (in just the same way as an instanton describes such transitions in the Euclidean space). The limit of an infinitely large mass of the Higgs field at a finite density of the BPS monopole is considered as a model of the stable vacuum in the pure Yang-Mills theory. It is shown that, in QCD, such a monopole vacuum may lead to a rising potential, a topological confinement and an additional mass of the $η_0$ meson. The relationship between the result obtained here for the generating functional of perturbation theory and Faddeev-Popov integral is discussed.

hep-th↗