The Heisenberg spinor field classification and its interplay with the Lounesto’s classification

Arcodía, Marcos R. A.; Bellini, Mauricio; Rocha, Roldão da

doi:10.1140/epjc/s10052-019-6778-4

Cited by 7 publications

(4 citation statements)

References 33 publications

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“…In this context, the mass of the particle is related to σ , and the pseudo-scalar ω is relevant for parity-coupling (the pseudo-scalar quantity interacts with a pseudo-scalar meson π 0 preserving parity [24]). In addition, σ appears in the mass and self-interaction terms in the Lagrangian, whereas ω, being CP-odd, might probe CP features [25]. Beside that, the current four-vector J gives the current of probability, K is an axial vector current, and S is associated with the distribution of intrinsic angular momentum.…”

Section: Basic Conceptions On the Lounesto's Classification And Spinomentioning

confidence: 99%

On the generalized spinor classification: beyond the Lounesto’s classification

et al. 2020

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In this paper we advance into a generalized spinor classification, based on the so-called Lounesto's classification. The program developed here is based on an existing freedom on the spinorial dual structures definition, which, in certain simple physical and mathematical limit, allows us to recover the usual Lounesto's classification. The protocol to be accomplished here gives full consideration in the understanding of the underlying mathematical structure, in order to satisfy the quadratic algebraic relations known as Fierz-Pauli-Kofink identities, and also to provide physical observables. As we will see, such identities impose restrictions on the number of possible spinorial classes allowed in the classification. We also expose a subsidiary mathematical device-a slight modification on the Clifford algebra basis-which ensures real spinorial densities and holds the Fierz-Pauli-Kofink quadratic relations.

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Section: Basic Conceptions On the Lounesto's Classification And Spinomentioning

confidence: 99%

On the generalized spinor classification: beyond the Lounesto’s classification

et al. 2020

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“…Mass dimension one quantum fields were investigated under the prism of non-standard Wigner classes in Refs. [90][91][92][93][94][95][96][97][98][99], also paving the way for other generalized spinor field classifications [100][101][102][103], including the spinor classification encompassing higher order gauge groups [104]. Flipping phenomena between spinor field classes were analyzed in Ref.…”

Section: Elko Underlying Framework and Ramificationsmentioning

confidence: 99%

Fermionic dark matter interaction with the photon and the proton in the quantum field-theoretical approach and generalizations

Gracia¹,

Rocha²

2022

Preprint

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Mass dimension one quantum fields, constructed upon eigenspinors of the charge conjugation operator with dual helicity (ELKO), are prime candidates to describe dark matter.Their interaction with the photon and the proton, in scattering processes, are here explored and discussed, using both the standard QFT with a Maxwell gauge field and a generalized QFT also involving a Podolsky gauge sector. Renormalization and radiative corrections are analyzed in the ELKO setup, in the context of a generalized spinor dual and the twisted conjugation, both yielding unitarity. Several applications are scrutinized, involving the inherent darkness underlying ELKO construction and galaxies rotation curves, the non-relativistic potential regime, and the Møller-like scattering involving ELKO. I. INTRODUCTION Quantum fields constructed upon mass dimension one quantum spinor fields in QFT are prime candidates to describe dark matter, since they are, by construction, neutral fermions under gauge interactions, therefore implementing darkness [1-3]. Neutrality under gauge fields is naturally implemented when one employs eigenspinors of the charge conjugation operator. Additionally demanding that the right-and left-handed components of these spinor fields have dual helicity, the so-called eigenspinors of the charge conjugation operator with dual helicity (ELKO) set in. Despite its inherent darkness, eventual couplings remain and might lead to peculiar experimental signatures of ELKO in high-energy running experiments [4-14]. ELKO resides in non-standard Wigner spinor classes, when the unitary irreducible representations of the Poincaré group are extended to encode discrete symmetries [15-19]. Field-theoretical developments and applications of mass dimension one quantum fields were presented in Refs. [20-52]. In addition, fermionic aspects of AdS/CFT correspondence, emulating mass dimension one quantum fields, have been introduced in Refs. [53-58], whereas the pivotal role of ELKO in the membrane paradigm was investigated in Refs. [59-65].

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“…In particular, the scalar field was studied in the context of Casimir force in several works [16][17][18][19][20][21][22][23][24], which will be detailed along with all the paper. a e-mail: r.v.maluf@fisica.ufc.br b e-mail: davi@fisica.ufc.br (corresponding author) c e-mail: carlos@fisica.ufc.br On the other hand, the so-called Elko field (dual-helicity eigenspinors of the charge conjugation operator) are 1/2 spin neutral fermion field with mass dimension one in (3 + 1) dimensions [25][26][27][28][29]. Due to this, the interactions of Elko spinor field is restricted to only the gravity field and the Higgs field.…”

Section: Introductionmentioning

confidence: 99%

The Casimir effect for the scalar and Elko fields in a Lifshitz-like field theory

2020

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In this work, we obtain the Casimir energy for the real scalar field and the Elko neutral spinor field in a field theory at a Lifshitz fixed point (LP). We analyze the massless and the massive case for both fields using dimensional regularization. We obtain the Casimir energy in terms of the dimensional parameter and the LP parameter. Particularizing our result, we can recover the usual results without LP parameter in (3 + 1) dimensions presented in the literature. Moreover, we compute the effects of the LP parameter in the thermal corrections for the massless scalar field.

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The Heisenberg spinor field classification and its interplay with the Lounesto’s classification

Cited by 7 publications

References 33 publications

On the generalized spinor classification: beyond the Lounesto’s classification

On the generalized spinor classification: beyond the Lounesto’s classification

Fermionic dark matter interaction with the photon and the proton in the quantum field-theoretical approach and generalizations

The Casimir effect for the scalar and Elko fields in a Lifshitz-like field theory

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