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Valeri V. Dvoeglazov

Publications and source records attributed to Valeri V. Dvoeglazov.

At least 55 records · Page 3Linked to original sources
arXiv1998

Photon-Notoph Equations

In the sixties Ogievetskii and Polubarinov proposed the concept of a notoph, whose helicity properties are complementary to those of a photon. We analyze the theory of antisymmetric tensor fields in the view of the normalization problem. The obtained result is that it is possible to describe both photon and notoph degrees of freedom on the basis of the modified Bargmann-Wigner formalism for the symmetric second-rank spinor. Physical consequences are discussed.

physics.class-ph↗
arXiv1998

Historical Note on the Relativistic Theories of Electromagnetism

Quantum electrodynamics is the well-accepted theory. However, we feel it is useful to look at formalisms that provide alternative ways to describe light, because in the recent years the development of quantum field theories based primarily on the gauge principle has encountered considerable difficulties. There is a wide variety of generalized theories and they are characterized mainly by the introduction of additional parameters and/or longitudinal modes of electromagnetism. The Majorana-Oppenheimer form of electrodynamics, the Sachs' theory of Elementary Matter, the analysis of the action-at-a-distance concept, presented recently by Chubykalo and Smirnov-Rueda, and the analysis of the claimed `longitudinality' of the antisymmetric tensor field after quantization are reviewed in this essay. We also list recent advances in the Weinberg 2(2J+1) formalism (which is built on First Principles) and in the Majorana theory of neutral particles. These may serve as starting points for constructing a quantum theory of light.

physics.hist-ph↗
arXiv1998

On unusual interactions of the (1/2,0)+(0,1/2) particles

We continue to study the `fermion -- 4-vector potential' interactions in the framework of the McLennan-Case construct which is a reformulation of the Majorana theory of the neutrino. This theory is shown after applying Majorana-like anzatzen to give rise to appearance of unusual terms as \vecσ\cdot [\vec A \times \vec A^\ast ], which were recently discussed in non-linear optics.

hep-ph↗
arXiv1998

More about the S=1 relativistic oscillator

Following to the lines drawn in my previous paper about the S=0 relativistic oscillator I build up an oscillatorlike system which can be named as the S=1 Proca oscillator. The Proca field function is obtained in the framework of the Bargmann-Wigner prescription and the interaction is introduced similarly to the S=1/2 Dirac oscillator case regarded by Moshinsky and Szczepaniak. We obtained the intriguing rule of quantization: E = \hbar ω/2 for the parity states (-1)^j and E = \pm \hbar ω(j+1/2) for the parity states -(-1)^j. There are no radial excitations. Finally, I apply the above-mentioned procedure to the case of the two-body relativistic oscillator.

hep-th↗
arXiv1997

A Note on the Neutrino Theory of Light

In this small note we ask several questions which are relevant to the construction of the self-consistent neutrino theory of light. The previous confusions in such attempts are explained in the more detailed publication.

hep-th↗
arXiv1997

On the importance of the normalization

We repeat the known procedure of the derivation of the set of Proca equations. It is shown that it can be written in various forms. The importance of the normalization is point out for the problem of the correct description of spin-1 quantized fields. Finally, the discussion of the so-called Kalb-Ramond field is presented.

hep-th↗
arXiv1997

Questions in the Theory of the (1,0)+(0,1) Quantized Fields

We find a mapping between antisymmetric tensor matter fields and the Weinberg's 2(2j+1)- component "bispinor" fields. Equations which describe the j=1 antisymmetric tensor field coincide with the Hammer-Tucker equations entirely and with the Weinberg ones within a subsidiary condition, the Klein-Gordon equation. The new Lagrangian for the Weinberg theory is proposed which is scalar and Hermitian. It is built on the basis of the concept of the `Weinberg doubles'. Origins of a contradiction between the classical theory, the Weinberg theorem B-A=λfor quantum relativistic fields and the claimed `longitudity' of the antisymmetric tensor field (transformed on the (1,0)\oplus (0,1) Lorentz group representation) after quantization are clarified. Analogs of the j=1/2 Feynman-Dyson propagator are presented in the framework of the j=1 Weinberg theory. It is then shown that under the definite choice of field functions and initial and boundary conditions the massless j=1 Weinberg-Tucker-Hammer equations contain all information that the Maxwell equations for electromagnetic field have. Thus, the former appear to be of use in describing some physical processes for which that could be necessitated or be convenient.

hep-th↗
arXiv1997

Chiral Interactions of Massive Particles in the (1/2,0)+(0,1/2) Representation

On the basis of the first principles we argue that self/anti-self charge conjugate states of the (1/2,0)+(0,1/2) representation can possess the axial charge. Finally, we briefly discuss recent claims of the \sim \vec σ\cdot [ \vec A \times \vec A^\ast ] interaction term for the particles of this representation.

hep-th↗
arXiv1997

Mapping Between Antisymmetric Tensor And Weinberg Formulations

In the framework of the classical field theory a mapping between antisymmetric tensor matter fields and Weinberg's $2(2j+1)$ component "bispinor" fields is considered. It is shown that such a mapping exists and equations which describe the $j=1$ antisymmetric tensor field coincide with the Hammer-Tucker equations completely and with the Weinberg ones within a subsidiary condition, the Klein-Gordon equation. A new Lagrangian for the Weinberg theory is proposed. It is scalar, Hermitian and contains only the first-order time derivatives of the fields. The remarkable feature of this Lagrangian is the presence of dual field functions, considered as parts of a parity doublet. I study then origins of appearance of the dual solutions in the Weinberg equations on the basis of spinorial analysis and point out the topics which have to be explained in the framework of a secondary quantization scheme.

hep-th↗
arXiv1997

The Weinberg Formalism and a New Look at the Electromagnetic Theory

In the first part of this paper we review several formalisms which give alternative ways for describing the light. They are: the formalism `baroque' and the Majorana-Oppenheimer form of electrodynamics, the Sachs' theory of Elementary Matter, the Dirac-Fock-Podol'sky model, its development by Staruszkiewicz, the Evans-Vigier ${\bf B}^{(3)}$ field, the theory with an invariant evolution parameter by Horwitz, the analysis of the action-at-a-distance concept, presented recently by Chubykalo and Smirnov-Rueda, and the analysis of the claimed `longitudinality' of the antisymmetric tensor field after quantization. The second part is devoted to the discussion of the Weinberg formalism and its recent development by Ahluwalia and myself. Connections between these models and possible significance of longitudinal modes are also discussed.

physics.hist-ph↗
arXiv1997

Self/Anti-Self Charge Conjugate States for j=1/2 and j=1

We briefly review recent achievements in the theory of neutral particles (the Majorana-McLennan-Case-Ahluwalia construct for self/anti-self charge conjugate states for j=1/2 and j=1 cases). Among new results we present a theoretical construct in which a fermion and an antifermion have the same intrinsic parity; discuss phase transformations and find relations between the Majorana-like field operator $ν$, given by Ahluwalia, and the Dirac field operator. Also we give explicit forms of the $j=1$ ``spinors" in the Majorana representation.

math-ph↗
arXiv1996

Essay on the Non-Maxwellian Theories of Electromagnetism

In the first part of this paper we review several formalisms which give alternative ways for describing the light. They are: the formalism `baroque' and the Majorana-Oppenheimer form of electrodynamics, the Sachs' theory of Elementary Matter, the Dirac-Fock-Podol'sky model, its development by Staruszkiewicz, the Evans-Vigier ${\bf B}^{(3)}$ field, the theory with an invariant evolution parameter of Horwitz, the analysis of the action-at-a-distance concept, presented recently by Chubykalo and Smirnov-Rueda, and the analysis of the claimed `longitudity' of the antisymmetric tensor field after quantization. The second part is devoted to the discussion of the Weinberg formalism and its recent development by Ahluwalia and myself.

hep-th↗