New Quantum Electrodynamics for Vector Mesons

Tucker, Robert Henry; Hammer, C. L.

doi:10.1103/physrevd.3.2448

Cited by 36 publications

(41 citation statements)

References 21 publications

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“…It is possible because in terms of E and H the both of Eqs (8),. obtained from the first and second terms of(7), lead to the same motion equations.…”

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confidence: 83%

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The 2(2S + 1)-formalism and its connection with other descriptions

Dvoeglazov

2016

Int. J. Geom. Methods Mod. Phys.

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In the framework of the Joos-Weinberg 2(2S + 1)-theory for massless particles, the dynamical invariants have been derived from the Lagrangian density which is considered to be a 4-vector. A la Majorana interpretation of the 6-component "spinors'", the field operators of S = 1 particles, as the left-and right-circularly polarized radiation, leads us to the conserved quantities which are analogous to those obtained by Lipkin and Sudbery. The scalar Lagrangian of the Joos-Weinberg theory is shown to be equivalent to the Lagrangian of a free massless field, introduced by Hayashi. As a consequence of a new "gauge" invariance this skew-symmetric field describes physical particles with the longitudinal components only. The interaction of the spinor field with the Weinberg's 2(2S + 1)-component massless field is considered. New interpretation of the Weinberg field function is proposed.

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“…It is possible because in terms of E and H the both of Eqs (8),. obtained from the first and second terms of(7), lead to the same motion equations.…”

mentioning

confidence: 83%

“…If we implement this "gauge" transfor- 6 See also description of closed strings on the base of this Lagrangian in [29,30]. 7 Let us mention some analogy with the potential formulation of QED. In some sense the Lagrangian (27) corresponds to the choice of "gauge-fixing" parameter ξ = −1, L H of Ref.…”

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confidence: 99%

The 2(2S + 1)-formalism and its connection with other descriptions

Dvoeglazov

2016

Int. J. Geom. Methods Mod. Phys.

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“…In the series of the papers [1,2,3,4] we tried to find connection between the theory of the quantized antisymmetric tensor (AST) field of the second rank (and that of the corresponding 4-vector field) with the 2(2s + 1) Weinberg-Tucker-Hammer formalism [5,6]. Several previously published works [7,8,9] introduced the concept of the notoph (the Kalb-Ramond field) which is constructed on the basis of the antisymmetric tensor "potentials", cf.…”

Section: Pos(ffp14)188mentioning

confidence: 99%

Energy-Momentum Tensor in Electromagnetic Theory and Gravitation from Relativistic Quantum Equations

Dvoeglazov¹

2016

Proceedings of Frontiers of Fundamental Physics 14 — PoS(FFP14)

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Recently, several discussions on the possible observability of 4-vector fields have been published in literature. Furthermore, several authors recently claimed existence of the helicity=0 fundamental field. We re-examine the theory of antisymmetric tensor fields and 4-vector potentials. We study the massless limits. In fact, theoretical motivation for this venture is the old papers of Ogievetskiȋ and Polubarinov, Hayashi, and Kalb and Ramond. They proposed the concept of the notoph, whose helicity properties are complementary to those of the photon. We analyze the quantum field theory with taking into account mass dimensions of the notoph and the photon. We also proceed to derive equations for the symmetric tensor of the second rank on the basis of the Bargmann-Wigner formalism. They are consistent with the general relativity. Particular attention has been paid to the correct definitions of the energy-momentum tensor and other Nöther currents. We estimate possible interactions, fermion-notoph, graviton-notoph, photon-notoph.

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Section: Introductionmentioning

confidence: 99%

Translational and Rotational Properties of Tensor Fields in Relativistic Quantum Mechanics

Dvoeglazov

2015

Adv. Appl. Clifford Algebras

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Abstract. Recently, several discussions on the possible observability of 4-vector fields have been published in literature. Furthermore, several authors recently claimed existence of the helicity=0 fundamental field. We re-examine the theory of antisymmetric tensor fields and 4-vector potentials. We study the massless limits. In fact, a theoretical motivation for this venture is the old papers of Ogievetskiȋ and Polubarinov, Hayashi, and Kalb and Ramond. They proposed the concept of the notoph, whose helicity properties are complementary to those of the photon. We analyze the quantum field theory with taking into account mass dimensions of the notoph and the photon. We also proceed to derive equations for the symmetric tensor of the second rank on the basis of the Bargmann-Wigner formalism They are consistent with the general relativity. Particular attention has been paid to the correct definitions of the energy-momentum tensor and other Nöther currents. We estimate possible interactions, fermion-notoph, graviton-notoph, photon-notoph.

show abstract

New Quantum Electrodynamics for Vector Mesons

Cited by 36 publications

References 21 publications

The 2(2S + 1)-formalism and its connection with other descriptions

The 2(2S + 1)-formalism and its connection with other descriptions

Energy-Momentum Tensor in Electromagnetic Theory and Gravitation from Relativistic Quantum Equations

Translational and Rotational Properties of Tensor Fields in Relativistic Quantum Mechanics

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