A Bargmann-Wightman-Wigner-type quantum field theory

Ahluwalia, Dharam Vir; Johnson, Mikkel B.; Goldman, T.

doi:10.1016/0370-2693(93)90664-4

Cited by 62 publications

(134 citation statements)

References 12 publications

(10 reference statements)

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“…The literature on the subject has, so far, provided valuable general insights [6][7][8] but it lacks in specific constructs. Yet, a focus on specifics can bring about important and unexpected insights which otherwise escape [20]. It is in this latter spirit also that this paper comes into existence.…”

Section: Introductionmentioning

confidence: 96%

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Spin-half fermions with mass dimension one: theory, phenomenology, and dark matter

Ahluwalia

Grumiller

2005

J. Cosmol. Astropart. Phys.

182

260

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Abstract:We provide the first details on the unexpected theoretical discovery of a spinone-half matter field with mass dimension one. It is based upon a complete set of dualhelicity eigenspinors of the charge conjugation operator. Due to its unusual properties with respect to charge conjugation and parity, it belongs to a non-standard Wigner class. Consequently, the theory exhibits non-locality with (CP T ) 2 = −I. We briefly discuss its relevance to the cosmological 'horizon problem'. Because the introduced fermionic field is endowed with mass dimension one, it can carry a quartic self-interaction. Its dominant interaction with known forms of matter is via Higgs, and with gravity. This aspect leads us to contemplate the new fermion as a prime dark matter candidate. Taking this suggestion seriously we study a supernova-like explosion of a galactic-mass dark matter cloud to set limits on the mass of the new particle and present a calculation on relic abundance to constrain the relevant cross-section. The analysis favours light mass (roughly 20 MeV) and relevant cross-section of about 2 pb. Similarities and differences with the WIMP and mirror matter proposals for dark matter are enumerated. In a critique of the theory we bare a hint on non-commutative aspects of spacetime, and energy-momentum space.Keywords: dark matter, quantum field theory on curved space.To celebrate the birthday of my wife Dr I S Ahluwalia-Khalilova and in memory of my father Shri B S Ahluwalia (1933-1977

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Section: Introductionmentioning

confidence: 96%

“…Elko Dual: 19) with the antisymmetric symbol ε 20) where ψ(p) represents any of the four Dirac spinors and δ h ′ h is the Kronecker symbol. Explicitly, equation (3.19) …”

Section: A New Dual For Elkomentioning

confidence: 99%

Spin-half fermions with mass dimension one: theory, phenomenology, and dark matter

Ahluwalia

Grumiller

2005

J. Cosmol. Astropart. Phys.

182

260

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“…Spin-1 and Spin-0 thus become covariantly inseparable in the (1/2, 1/2) representation space. On the other hand, if one wishes to have a pure spin-1 massive object, then that object must transform according to the (1, 0) ⊕ (0, 1) representation [25].…”

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confidence: 99%

On the Spin of Gravitational Bosons

Ahluwalia

Dadhich

Kirchbach

2002

Int. J. Mod. Phys. D

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We unearth spacetime structure of massive vector bosons, gravitinos, and gravitons. While the curvatures associated with these particles carry a definite spin, the underlying potentials cannot be, and should not be, interpreted as single spin objects. For instance, we predict that a spin measurement in the rest frame of a massive gravitino will yield the result 3/2 with probability one half, and 1/2 with probability one half. The simplest scenario leaves the Riemannian curvature unaltered; thus avoiding conflicts with classical tests of the theory of general relativity. However, the quantum structure acquires additional contributions to the propagators, and it gives rise to additional phases.Email addresses: ahluwalia@heritage.reduaz.mx (D. V. Ahluwalia), nkd@iucaa.ernet.in (N. Dadhich), kirchbach@chiral.reduaz.mx (M. Kirchbach).

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“…[1]. Then, Ahluwalia et al proposed [5] the BargmannWightman-Wigner-type quantum field theory, where, as they claimed, the boson and the antiboson have oposite intrinsic parities (see also [6]). Actually, this type of theories has been first proposed by Gelfand and Tsetlin (1956), Ref.…”

Section: Introductionmentioning

confidence: 99%

“…The question of definitions of the discrete symmetries operators raised by Silagadze, has not yet been clarified in detail. Explicit examples are presented below and in the previous papers [2,3,4,5,6,10,11,12,13].…”

Section: Introductionmentioning

confidence: 99%

P, C and T: Different Properties on the Kinematical Level

Dvoeglazov

2017

Unified Field Mechanics II: Formulations and Empirical Tests

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We study the discrete symmetries (P ,C and T ) on the kinematical level within the extended Poincaré Group. On the basis of the Silagadze research, we investigate the question of the definitions of the discrete symmetry operators both on the classical level, and in the secondary-quantization scheme. We study the physical contents within several bases: light-front formulation, helicity basis, angular momentum basis, and so on, on several practical examples. We analize problems in construction of the neutral particles in the the (1/2, 0) + (0, 1/2) representation, the (1, 0) + (0, 1) and the (1/2, 1/2) representations of the Lorentz Group. As well known, the photon has the quantum numbers 1 − , so the (1, 0) + (0, 1) representation of the Lorentz group is relevant to its description. We have ambiguities in the definitions of the corresponding operators P , C; T , which lead to different physical consequences. It appears that the answers are connected with the helicity basis properties, and commutations/anticommutations of the corresponding operators, P , C, T , and C 2 , P 2 , (CP ) 2 properties.

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A Bargmann-Wightman-Wigner-type quantum field theory

Cited by 62 publications

References 12 publications

Spin-half fermions with mass dimension one: theory, phenomenology, and dark matter

Spin-half fermions with mass dimension one: theory, phenomenology, and dark matter

On the Spin of Gravitational Bosons

P, C and T: Different Properties on the Kinematical Level

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