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Valeri V. Dvoeglazov

Publications and source records attributed to Valeri V. Dvoeglazov.

At least 73 records · Page 4Linked to original sources
arXiv1996

On the existence of additional solutions for equations in the $(1/2,0)\oplus (0,1/2)$ representation space

We analyze dispersion relations of the equations recently proposed by Ahluwalia for describing neutrino. Equations for type-II spinors are deduced on the basis of the Wigner rules for left- and right- 2-spinors and the Ryder-Burgard relation. It is shown that equations contain acausal solutions which are similar to those of the Dirac-like second-order equation. The latter is obtained in a similar way, provided that we do not apply to any constraints in the process of its deriving.

hep-th↗
arXiv1996

Interacción `Oscilador' de Part\'ıculas Relativistas

This is a brief introduction on the graduate level to mechanics of various spin relativistic particles with oscillatorlike interaction. This mathematical model proposed by M. Moshinsky could have considerable physical applications for describing processes mediated by tensor fields and in bound state theory.

hep-th↗
arXiv1996

De Dirac a Maxwell: un Camino con Grupo de Lorentz

This is a brief introduction on the graduate level to recent ideas in the Weinberg $(j,0)\oplus (0,j)$ formalism, appearing after presentation of the Bargamann-Wightman-Wigner-type quantum field theory by D. V. Ahluwalia {\it et al.}

hep-th↗
arXiv1996

Different Quantum Field Constructs in the $(1/2,0)\oplus (0,1/2)$ Representation

We present another concrete realization of a quantum field theory, envisaged many years ago by Bargmann, Wightman and Wigner. Considering the special case of the $(1/2,0)\oplus (0,1/2)$ field and developing the Majorana-McLennan-Case-Ahluwalia construct for neutrino we show that fermion and its antifermion can have same intrinsic parities. The construct can be applied to explanation of the present situation in neutrino physics.

hep-th↗
arXiv1996

About the Claimed Longitudinal Nature of the Antisymmetric Tensor Field After Quantization

It has long been claimed that antisymmetric tensor field of the second rank is longitudinal after quantization. Such a situation is quite unacceptable from a viewpoint of the Correspondence Principle. On the basis of the Lagrangian formalism we calculate the Pauli-Lyuban'sky vector of relativistic spin for this field. Even at the classical level it can be equal to zero after application of the well-known constraints. The correct quantization procedure permits us to propose solution of this puzzle in the modern field theory. Obtained results develop the previous consideration of Evans [{\it Physica A}214 (1995) 605-618].

hep-th↗
arXiv1995

Majorana -- like models in the physics of neutral particles

Due to the standard electroweak model we have become accustomed to think about a neutrino $ν$ and its antineutrino $\bar ν$ as distinct particles. However, it has long been recognized that the apparent distinction between them may be only an illusion. Implying these words of Prof. B. Kayser we give an alternative insight in the physics of neutral particles (neutrino and photon). The proposed formalism which is based on the Majorana ideas could also be useful for deeper understanding of the nature of electron.

hep-ph↗
arXiv1995

Significance of the Spinorial Basis in the Quantum Theory

Problems connected with a choice of the spinorial basis in the $(j,0)\oplus (0,j)$ representation space are discussed. As shown it has profound significance in the relativistic quantum theory. From the methodological viewpoint this fact is related with the important dynamical role played by space-time symmetries for all kind of interactions.

hep-th↗
arXiv1995

Fermion-Fermion and Boson-Boson Amplitudes: Surprising Similarities

Amplitudes for boson-boson and fermion-boson interactions are calculated in the second order of perturbation theory in the Lobachevsky space. An essential ingredient of the used model is the Weinberg's $2(2j+1)$ component formalism for describing a particle of spin $j$, recently developed substantially. The boson-boson amplitude is then compared with the two-fermion amplitude obtained by Skachkov long ago on the ground of the hamiltonian formulation of quantum field theory on the mass hyperboloid, $p_0^2 -{\vec p}^{2}=M^2$, proposed by Kadyshevsky. The parametrization of the amplitudes by means of the momentum transfer in the Lobachevsky space leads to same spin structures in the expressions of $T$ matrices for the fermion and the boson cases. However, certain differences are found. Possible physical applications are discussed.

hep-th↗
arXiv1995

Lagrangian for the Majorana-Ahluwalia Construct

The equations describing self/anti-self charge conjugate states, recently proposed by Ahluwalia, are re-written to covariant form. The corresponding Lagrangian for the neutral particle theory is proposed. From a group-theoretical viewpoint the construct is an example of the Nigam-Foldy-Bargmann-Wightman-Wigner-type quantum field theory based on the doubled representations of the extended Lorentz group. Relations with the Sachs-Schwebel and Ziino-Barut concepts of relativistic quantum theory are discussed.

hep-th↗
arXiv1995

Interactions of a $j=1$ boson in the $2(2j+1)$ component theory

The amplitudes for boson-boson and fermion-boson interactions are calculated in the second order of perturbation theory in the Lobachevsky space. An essential ingredient of the used model is the Weinberg's $2(2j+1)$ component formalism for describing a particle of spin $j$, recently developed substantially. The boson-boson amplitude is then compared with the two-fermion amplitude obtained long ago by Skachkov on the ground of the hamiltonian formulation of quantum field theory on the mass hyperboloid, $p_0^2 -{\bf p}^2=M^2$, proposed by Kadyshevsky. The parametrization of the amplitudes by means of the momentum transfer in the Lobachevsky space leads to same spin structures in the expressions of $T$ matrices for the fermion and the boson cases. However, certain differences are found. Possible physical applications are discussed.

hep-th↗
arXiv1995

Neutral Particles in Light of the Majorana-Ahluwalia Ideas

The first part of this article (Sections I and II) presents oneself an overview of theory and phenomenology of truly neutral particles based on the papers of Majorana, Racah, Furry, McLennan and Case. The recent development of the construct, undertaken by Ahluwalia [{\it Mod. Phys. Lett. A}{\bf 9} (1994) 439; {\it Acta Phys. Polon. B}{\bf 25} (1994) 1267; Preprints LANL LA-UR-94-1252, LA-UR-94-3118], could be relevant for explanation of the present experimental situation in neutrino physics and astrophysics. In Section III the new fundamental wave equations for self/anti-self conjugate type-II spinors, proposed by Ahluwalia, are re-casted to covariant form. The connection with the Foldy-Nigam-Bargmann-Wightman- Wigner (FNBWW) type quantum field theory is found. The possible applications to the problem of neutrino oscillations are discussed.

hep-th↗
arXiv1995

Extra Dirac Equations

This paper has rather a pedagogical meaning. Surprising symmetries in the $(j,0)\oplus (0,j)$ Lorentz group representation space are analyzed. The aim is to draw reader's attention to the possibility of describing the particle world on the ground of the Dirac "doubles". Several tune points of the variational principle for this kind of equations are briefly discussed.

hep-th↗
arXiv1995

Significance of the spinorial basis in relativistic quantum mechanics

The problems connected with a choice of the spinorial basis in the $(j,0)\oplus (0,j)$ representation space are discussed. It is shown to have profound significance in relativistic quantum theory. From the methodological viewpoint this fact is related with the important dynamical role played by space-time symmetries for all kind of interactions.

hep-th↗
arXiv1994

More about the $j=0$ relativistic oscillator

I start from the Bargmann-Wigner equations and introduce an interaction in the form which is similar to a $j=1/2$ case [M. Moshinsky & A. Szczepaniak, {\it J. Phys. A}{\bf 22} (1989) L817]. By means of the expansion of the wave function in the complete set of $γ$- matrices one can obtain the equations for a system which could be named as the $j=0$ Kemmer-Dirac oscillator. The equations for the components $ϕ_1$ and $ϕ_2$ are different from the ones obtained by Y. Nedjadi & R. Barrett for the $j=0$ Duffin-Kemmer-Petiau oscillator [{\it J. Phys. A} {\bf 27} (1994) 4301]. This fact leads to the dissimilar energy spectrum of the $j=0$ relativistic oscillator.

hep-th↗
arXiv1994

Can the $2(2j+1)$ component Weinberg-Tucker-Hammer equations describe the electromagnetic field?

It is shown that the massless $j=1$ Weinberg-Tucker-Hammer equations reduce to the Maxwell's equations for electromagnetic field under the definite choice of field functions and initial and boundary conditions. Thus, the former appear to be of use in a description of some physical processes for which that could be necessitated or be convenient. The possible consequences are discussed.

hep-th↗
arXiv1994

ADDENDUM to the papers on the Weinberg Theory

The Weinberg-Tucker-Hammer equations are shown to substitute the common-used $j=1$ massless equations. Meantime, the old equations preserve their significance as a particular case. Possible consequences are discussed.

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