MAJORANA-LIKE (j, 0) ⊕ (0, j) REPRESENTATION SPACES: CONSTRUCTION AND PHYSICAL INTERPRETATION

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

doi:10.1142/s0217732394000460

Cited by 13 publications

(43 citation statements)

References 18 publications

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“…It seems to have remained unasked as to what effect the choice for the helicity structure of the Majorana spinors has on the physical content of the resulting field, and why the same spinors should not be asked to satisfy an appropriate completeness relation in the (1/2, 0) ⊕ (0, 1/2) representation space. In the context of generalization to higher spins, a preliminary exploration of these issues emerged in [40,41]. The unexpected results that we present here arose when the present authors decided to take the research notes contained in [42] to their logical conclusion.…”

Section: Genesis: From the Majorana Field To A Call For A New Dark Mamentioning

confidence: 84%

“…With respect to the Dirac dual, the Elko have an imaginary bi-orthogonal norm as was already noted in [40,41]. For the sake of a ready reference, this is recorded explicitly in appendix B.1.…”

Section: A New Dual For Elkomentioning

confidence: 96%

“…For x 0 > y 0 one obtains 40) where N denotes (fermionic) normal ordering, i.e., all c β operators are on the right-hand side and all c † β operators on the left-hand side in each expression. By virtue of (5.55), the anticommutator evaluates to 28…”

Section: Signatures Of Elko Non-locality In the Physical Amplitudes Amentioning

confidence: 99%

“…Let R * represent the radius which characterizes the spatial extent of the collapsing ς cloud when it reaches the temperature T * . Under the assumption that the initial R ≫ R * , R * is characterized by the Elko configuration when the average kinetic energy gained per ς equals the energy associated with a Higgs or ς (the only two mass scales which Elko-induced new Lagrangian density carries) 40 : 19) where N = M/m is the number of ς particles in the cloud, while m * is either the ς mass m, or it represents the Higgs mass m H . Taking note of the fact that m 3 P m −2 p is a typical stellar mass (= 3.77 × 10 33 g ≈ 1.9M ⊙ ), we write M ≈ M G ≈ α star m 3 P m −2 p , where M G represents the luminous mass of a typical galaxy, α star is approximately the number of stars in the same, and m p is the proton mass, and inserting for R * the absolute lower bound of R Ch , equation (10.19) yields…”

Section: Detailsmentioning

confidence: 99%

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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: Genesis: From the Majorana Field To A Call For A New Dark Mamentioning

confidence: 84%

Section: A New Dual For Elkomentioning

confidence: 96%

Section: Signatures Of Elko Non-locality In the Physical Amplitudes Amentioning

confidence: 99%

Section: Detailsmentioning

confidence: 99%

See 2 more Smart Citations

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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“…Once again, one finds that neutral (1/2, 0) ⊕ (0, 1/2) representation space carries distinct, and different, structure under the transformations of C, P, and T. The reader is referred to Refs. [14,15,19,20].…”

Section: The Quantum-induced Cpt Structure Of Space-timementioning

confidence: 99%

A CP-violating kinematic structure

Ahluwalia¹

2001

AIP Conference Proceedings

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Abstract. A CP violating kinematic structure is presented. The essential physical input is to question the textbook wisdom, "Now when a particle is at rest, one cannot define its spin as either left-or right-handed, so φ R (0) = φ L (0)," as found, e.g., in Lewis Ryder's Quantum Field Theory, and in many other books on the representations of the Lorentz group. It is suggested that this equality is true only up to a phase. The demand of C, P, and T covariances, separately, fixes this phase to be ±1. If these conditions are relaxed, a natural CP-violating kinematic structure emerges. Having established a CP-violating kinematic structure, we then discuss how Planck scale physics necessarily invokes non-commutative space-time and that such changes in the structure of spacetime will force upon us additional violations/deformations of the CPT structure of space-time, and a violation of the principle of equivalence via a violation of the Lorentz symmetries. The latter may carry significant consequences for understanding the data on ultra high energy cosmic rays.

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Neutral particles in light of the Majorana-Ahluwalia ideas

Dvoeglazov

1995

Int J Theor Phys

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The first part of this article (Sections I and II) presents oneself an overview of theory and phenomenology of truly neutral particles based on the papers of Majorana, Racah, Furry, McLennan and Case. The recent development of the construct, undertaken by Ahluwalia [Mod. Phys. Lett. A9 (1994) 439; Acta Phys. Polon. B25 (1994) 1267; Preprints LANL LA-UR-94-1252, LA-UR-94-3118], could be relevant for explanation of the present experimental situation in neutrino physics and astrophysics.In Section III the new fundamental wave equations for self/anti-self conjugate type-II spinors, proposed by Ahluwalia, are re-casted to covariant form. The connection with the Foldy-Nigam-Bargmann-Wightman-Wigner (FNBWW) type quantum field theory is found. The possible applications to the problem of neutrino oscillations are discussed. ul., 83, Saratov RUSSIA. Internet address: dvoeglazov@main1.jinr.dubna.su 1 There are opposite opinions on the solar neutrino problems. E. g., in his talk "The steady vanishing of the three solar neutrino problems" at the 27th Int. Conf. on High Energy Physics (1994) Prof. D. R. O. Morrison denies [5] their existence at all: "The evidence for any solar neutrino problem is "not compelling".2 Thanks to the two-component neutrino theory proposed by Landau, Lee, Yang and Salam [30].3 Surprisingly, the six of the present upper bounds on m 2 νe are negative [31]. E. g., the LANL result is −147 ± 68 ± 41 eV 2 , the LLNL one, −130 ± 20 ± 15 eV 2 . The most recent measurement (Troitsk, 1994) involves a new kind of systematics and gives −18 ± 6 eV 2 .

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MAJORANA-LIKE (j, 0) ⊕ (0, j) REPRESENTATION SPACES: CONSTRUCTION AND PHYSICAL INTERPRETATION

Cited by 13 publications

References 18 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

A CP-violating kinematic structure

Neutral particles in light of the Majorana-Ahluwalia ideas

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