Causality of propagation of spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mfrac><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:math>fields coupled to spinor and scalar fields

Prabhakaran, J.; Seetharaman, M.; Mathews, P. M.

doi:10.1103/physrevd.12.3191

Cited by 13 publications

(2 citation statements)

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“…Therefore, if we could find a covariant method of preventing these extra components from coming back the problems would be solved. Unfortunately, this seemingly simple task is a subtle one and has not been accomplished in general since the problem was discovered over 40 years ago although there have been many papers written on the subject 23 [40,41,43,44,45,46,47,48]. We do not claim to have solved the problem here either, but we will present an idea that may be of some use in the search for a solution or a proof that one can't exist.…”

Section: Consistency Problemsmentioning

confidence: 99%

Symmetry of Massive Rarita–schwinger Fields

Pilling

2005

Int. J. Mod. Phys. A

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We derive the general lagrangian and propagator for a vector-spinor field in ddimensions and show that the physical observables are invariant under the so-called point transformation symmetry. Until now the symmetry has not been exploited in any non-trival way, presumably because it is not an invariance of the classical action nor is it a gauge symmetry. Nevertheless, we develop a technique for exploring the consequences of the symmetry leading to a conserved vector current and charge. The current and charge are identically zero in the free field case and only contribute in a background such as a electromagnetic or gravitational field. The current can couple spin-3 2 fields to vector and scalar fields and may have important consequences in intermediate energy hadron physics as well as linearized supergravity. The consistency problem which plagues higher spin field theories is then discussed and and some ideas regarding the possiblity of solutions are presented. * terry@member.ams.org 1 By 'high spin' we mean particles of spin ≥ 3 2 . 2 See section 7 below.

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Section: Consistency Problemsmentioning

confidence: 99%

Symmetry of Massive Rarita–schwinger Fields

Pilling

2005

Int. J. Mod. Phys. A

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“…Even the quantization of higher-spin fields generated the questions. These and other deficiencies of the known equations for higher-spin are considered in [59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77] (a brief review of deficiencies see in [69]). …”

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confidence: 99%

On the Relativistic Canonical Quantum Mechanics and Field Theory of Arbitrary Spin

Simulik¹

2017

ujpa

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The new relativistic equations of motion for the particles with arbitrary spin and nonzero mass, suggested by author in years 2014-2016, are under consideration. The complete version of brief paper in J. Phys: Conf. Ser., 670 (2016) 012047(1-16) is given. The axiomatic level description of the relativistic canonical quantum mechanics of an arbitrary mass and spin has been given. The 64-dimensional Cl R (0,6) algebra in terms of Dirac gamma matrices has been suggested. The interpretation of the 28-dimensional gamma matrix representation of SO(8) algebra over the field of real numbers is given. The link between the relativistic canonical quantum mechanics of the arbitrary spin and the covariant local field theory in the form of extended Foldy-Wouthuysen transformation has been found. Different methods of the Dirac equation derivation have been reviewed. The manifestly covariant field equation for an arbitrary spin, that follows from the corresponding equation of relativistic canonical quantum mechanics, has been considered. The found equations are without redundant components. The partial examples for spin s=3/2 and s=2 are presented. The covariant local field theory equations for spin s = (3/2,3/2) particle-antiparticle doublet and spin s = (2,2) particle-antiparticle doublet have been introduced. The Maxwell and slightly generalized Maxwell-like equations containing mass member have been considered as well.

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On the Gamma Matrix Representations of SO(8) and Clifford Algebras

Simulik

2018

Adv. Appl. Clifford Algebras

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Causality of propagation of spin-32fields coupled to spinor and scalar fields

Cited by 13 publications

References 15 publications

Symmetry of Massive Rarita–schwinger Fields

Symmetry of Massive Rarita–schwinger Fields

On the Relativistic Canonical Quantum Mechanics and Field Theory of Arbitrary Spin

On the Gamma Matrix Representations of SO(8) and Clifford Algebras

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