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Valeri V. Dvoeglazov

Publications and source records attributed to Valeri V. Dvoeglazov.

At least 37 records · Page 2Linked to original sources
arXiv2002

Theory of Antisymmetric Tensor Fields

It has long been claimed that the antisymmetric tensor field of the second rank is pure longitudinal after quantization. In my opinion, such a situation is quite unacceptable. I repeat the well-known procedure of the derivation of the set of Proca equations. It is shown that it can be written in various forms. Furthermore, on the basis of the Lagrangian formalism I calculate dynamical invariants (including the Pauli-Lubanski vector of relativistic spin for this field). Even at the classical level the Pauli-Lubanski vector can be equal to zero after applications of well-known constraints. The importance of the normalization is pointed out for the problem of the description of quantized fields of maximal spin 1. The correct quantization procedure permits us to propose a solution of this puzzle in the modern field theory. Finally, the discussion of the connection of the Ogievetskii-Polubarinov-Kalb-Ramond field and the electrodynamic gauge is presented.

hep-th↗
arXiv2002

Fundamentos Matematicos De Teorias Sobre Espacios Noconmutativos

In the talk we investigate the question of commutation of the whole-partial derivatives, which should be considered when the function, which is subjected to differentiation, has both explicit and implicit dependence. We apply the results to the quantum theories. -- En la platica investigamos la cuestion de conmutacion de derivadas parciales cuando la funcion sujeta a diferenciacion tiene dependencia tanto explicita como implicita. Aplicamos los resultados a teorias cuanticas.

quant-ph↗
arXiv2002

Spinors, Relativity and Nonlocality

The Ryder relation between left- and right- spinors has been generalized in my previous works. On this basis Ahluwalia presented a physical content following from this generalization. It is related to non-locality. A similar conclusion can be drawn on the basis of a generalization of the Sakurai-Gersten consideration. I correct several calculating and conceptual misunderstandings of the previous works.

hep-th↗
arXiv2001

Weinberg's Approach and Antisymmetric Tensor Fields

We extend the previous series of articles [HPA] devoted to finding mappings between the Weinberg-Tucker-Hammer formalism and antisymmetric tensor fields. Now we take into account solutions of different parities of the Weinberg-like equations. Thus, the Proca, Duffin-Kemmer and Bargmann-Wigner formalisms are generalized.

hep-th↗
arXiv2000

What is the Evans-Vigier Field?

We explain connections of the Evans-Vigier model with theories proposed previously. The Comay's criticism is proved to be irrelevant.

physics.class-ph↗
arXiv2000

Translational and Rotational Properties of Antisymmetric Tensor Fields

Recently, several discussions on the possible observability of 4-vector potential have been published in literature. Furthermore, several authors recently claimed existence of the helicity=0 electromagnetic field. We re-examine the theory of antisymmetric tensor field and 4-vector potentials. We study the massless limits too. In fact, a theoretical motivation for this venture is old papers of Ogievetskii and Polubarinov, Hayashi, and Kalb and Ramond, which are widely accepted by physics community. This paper is based on two poster presentations "About the Longitudinal Nature of the Antisymmetric Tensor Field after Quantization" and "Normalization and m->0 Limit of the Proca Theory" at the Workshop "Lorentz Group, CPT and Neutrinos" (Zacatecas, Mexico, June 23-26, 1999).

math-ph↗
arXiv2000

Dirac and Majorana Constructs

The present work is a brief review of the recent development in the relativistic quantum mechanics in the $(1/2)\oplus (0,1/2)$ representation space. It can be useful for graduate students in particle physics and quantum field theory.

physics.gen-ph↗
arXiv1999

Comment on the "Maxwell Equations as the One-Photon Quantum Equation" by A. Gersten [Found. Phys. Lett. 12, pp. 291-298 (1999)]

We show that the Gersten derivation of Maxwell equations can be generalized. It actually leads to additional solutions of `S=1 equations'. They follow directly from previous considerations by Majorana, Oppenheimer, Weinberg and Ogievetskii and Polubarinov. Therefore, {\it generalized} Maxwell equations should be used as a guideline for proper interpretations of quantum theories.

quant-ph↗
arXiv1999

The Modified Bargmann-Wigner Formalism: Longitudinal Fields, Parity and All That

In the old papers of Ogievetskii and Polubarinov, Hayashi, Kalb and Ramond the {\it notoph} concept, the longitudinal field originated from the antisymmetric tensor, has been proposed. In our work we analyze the theory of antisymmetric tensor field of the second rank from a viewpoint of the normalization problem. We obtain the 4-potentials and field strengths, which coincide with those which have been previously obtained in the works of Ahluwalia and Dvoeglazov. Slightly modifying the Bargmann-Wigner field function we conclude that it is possible to describe explicitly the degrees of freedom of the photon and of the {\it notoph} by the same equation. The physical consequences, such as parity properties of field functions, are discussed, relations to the previous works are discussed as well. Moreover, we derive equations for {\it symmetric} tensor of the second rank on the basis of the same modification of the Bargmann-Wigner formalism, i.e. the equations which describe dynamical behavior of the fields of maximal spin 2.

hep-th↗
arXiv1999

Do Zero-Energy Solutions of Maxwell Equations Have the Physical Origin Suggested by A. E. Chubykalo? [Comment on the paper in Mod. Phys. Lett. A13 (1998) 2139-2146]

Zero-energy solutions of Maxwell's equations have been discovered and re-discovered many times in this century. In this comment we show that the paper by A. E. Chubykalo (which, in fact, also comments on the recent papers) did not explain physical interpretation of this solution and it used doubtful (up-to-date) postulates. Different explanations of the considered problem are possible.

physics.class-ph↗
arXiv1999

Again on the possible compositeness of the photon

We construct the transversal and longitudinal 4-vector potentials and strengths F^{μν} in the momentum representation on using the second-type 4-spinors recently proposed by Ahluwalia. Questions of relevance of this kind of theories to the correct photon statistics are briefly discussed.

hep-th↗
arXiv1999

Addendum to "...The Relativistic Covariance of the B-Cyclic Relations" [Found. Phys. Lett. 10 (1997) 383-391]

In the previous paper we proved that the Evans-Vigier definitions of B^{(0)} and {\bf B}^{(3)} may be related {\it not} with magnetic fields but with a 4-vector field. In the present {\it Addendum} it is shown that the terms used in the {\bf B}- Cyclic theorem proposed by M. Evans and J.-P. Vigier may have various transformation properties with respect to Lorentz transformations. The fact whether the {\bf B}^{(3)} field is a part of a bi-vector (which is equivalent to antisymmetric second-rank tensor) or a part of a 4-vector, depends on the phase factors in the definition of positive- and negative- frequency solutions of the ({\bf B}, {\bf E}) transverse field. This is closely connected to our considerations of the Bargmann-Wightman-Wigner (Gelfand-Tsetlin-Sokolik) Constructs and with the Ahluwalia's recent consideration of the phase factor related to gravity. The physical relevance of proposed constructs is discussed.

physics.class-ph↗
arXiv1999

Additional Equations Derived from the Ryder Postulates in the (1/2,0)+(0,1/2) Representation of the Lorentz Group

Developing recently proposed constructions for the description of particles in the $(1/2,0)\oplus (0,1/2)$ representation space, we derive the second-order equations. The similar ones were proposed in the sixties and the seventies in order to understand the nature of various mass and spin states in the representations of the $O(4,2)$ group. We give some additional insights into this problem. The used procedure can be generalized for {\it arbitrary} number of lepton families.

hep-th↗
arXiv1998

The modified Bargmann-Wigner formalism: The Higher Spins

In the old articles of Ogievetskii and Polubarinov, Kalb and Ramond the notoph concept, the longitudinal field originated from the antisymmetric tensor (AST), has been proposed. In our work we analyze the theory of the AST field of the second rank from the viewpoint of the normalization problem. We obtain 4-potentials and strengths which coincide with those obtained in the works of Ahluwalia and Dvoeglazov. We conclude that it is possible to describe degrees of freedom of the photon and of the notoph explicitly by slightly modified Bargmann-Wigner field function. The physical consequences and relations to the previous works are discussed. Furthermore, we derive equations for the symmetric tensor of the second rank on the basis of the same modification of the Bargmann-Wigner formalism, i.e., the equations which describe the dynamical behavior of the field of the maximal spin 2.

math-ph↗
arXiv1998

Speculations on the Neutrino Theory of Light

The basis of new ideas in the old theory is the Majorana and Ahluwalia constructs, modified versions of the Weinberg $2(2j+1)$ theory, and the Barut's self-field quantum electrodynamics.

physics.gen-ph↗
arXiv1998

The Bargmann-Wigner Formalism for Spin 2

We proceed to derive equations for the symmetric tensor of the second rank on the basis of the Bargmann-Wigner formalism in a straightforward way. The symmetric multispinor of the fourth rank is used. It is constructed out of the Dirac 4-spinors. Due to serious problems with the interpretation of the results obtained on using the standard procedure we generalize it and obtain the spin-2 relativistic equations, which are consistent with the previous one. The importance of the 4-vector field (and its gauge part) is pointed out.

math-ph↗