Lorentz-symmetry violating physics in a supersymmetric scenario in (2 + 1)-D

Bernal, L. D.; Gaete, Patricio; Gomes, Y. P. M.; Helayël-Neto, J. A.

doi:10.1209/0295-5075/129/11005

Cited by 4 publications

(5 citation statements)

References 54 publications

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“…The effects of Lorentz violation has been widely investigated in several different scenarios. It is worth mentioning recent studies on the statistical mechanics in LV background [10][11][12][13][14], the Casimir effect [15][16][17][18][19][20], the Bose-Einstein condensation [21][22][23][24][25], QED sector [26][27][28][29][30], LV theories with boundary conditions [31][32][33][34], Chern-Simons-like terms [35][36][37][38][39], scattering processes [40][41][42][43][44], geometrical correspondences [45,46], supersymmetric LV models [47][48][49][50][51], as well as many others interesting subjects (see also [52] and references therein for a more exhaustive list of related papers).…”

Section: Introductionmentioning

confidence: 99%

The Lorentz-violating real scalar field at thermal equilibrium

et al. 2021

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In this paper we study Lorentz-violation (LV) effects on the thermodynamics properties of a real scalar field theory due to the presence of a constant background tensor field. In particular, we analyse and compute explicitly the deviations of the internal energy, pressure, and entropy of the system at thermal equilibrium due to the LV contributions. For the free massless scalar field we obtain exact results, whereas for the massive case we perform approximated calculations. Finally, we consider the self interacting $$\phi ^4$$ ϕ 4 theory, and perform perturbative expansions in the coupling constant for obtaining relevant thermodynamics quantities.

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Section: Introductionmentioning

confidence: 99%

The Lorentz-violating real scalar field at thermal equilibrium

et al. 2021

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“…This interplay between high energy physics and condensed matter has been producing new insights about the quantum phenomena. This includes since the parallel between the Ginzburg-Landau model of superconductivity and the spontaneous symmetry breaking in the Higgs sector of the standard model of particle Physics to the relation between topological insulators and axion electrodynamics, with applications, e.g., in two-dimensional systems [1][2][3][4][5][6][7]. The physics of graphene [8], is of particular relevance in this context, where the electrons can be treated in a quasirelativistic way through the Dirac equation in (2 + 1)-dimensions.…”

Section: Introductionmentioning

confidence: 99%

Tilted Dirac cone effects and chiral symmetry breaking in a planar four-fermion model

Gomes,

Ramos

2021

Preprint

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We analyze the chiral symmetry breaking in a planar four-fermion model with non-null chemical potential, temperature and including the effect of the tilt of the Dirac cone. The system is modeled with a (2 + 1)-dimensional Gross-Neveu-like interaction model in the context of the generalized Weyl Hamiltonian and its phase structure is studied in the meanfield and large-N approximations. Possible applications of the results obtained, e.g., in connection to graphene, are discussed. We also discuss the effect of an external magnetic field applied to the system, which can give rise to the appearance of the anomalous Hall effect and that is expected to arise in connection with two-dimensional Weyl and Dirac semimetals.

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“…are given in ref. [14] and represent the LV-backgroung parameters. Besides, the bosonic part is given by…”

Section: Introductionmentioning

confidence: 99%

“…Following the conventions given in the Appendix of ref. [14], the corresponding dimensional reduction of the Lagrangian is carried out with Ψ = Ψ 1 Ψ 2 T . We thus obtain…”

Section: Introductionmentioning

confidence: 99%

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Aspects of Lorentz-Poincaré-symmetry violating physics in a supersymmetric scenario

Gaete,

Helayël-Neto,

Spallicci

2021

Preprint

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We study a Lorentz invariance violating extension for the pure photonic sector of the standard model in a supersymmetric scenario. We identify a number of independent background fermion condensates. An effective photonic action is proposed which is induced by the SUSY background fermion condensates. The physical consequences leading to direct measurable effects over the screening and confining properties are considered. In the specific case of the Carroll-Field-Jackiw, we pay special attention in analyzing the dispersion relations to derive the photon and photino masses in terms of the supersymmetric background parameters. In connection with astrophysical aspects of Lorentz-symmetry violation, we discuss the time delay between electromagnetic waves of different frequencies as a consequence of the appearance of the massive photon. We also point out that, in the scenario we propose to accommodate Lorentz-symmetry violation in presence of a supersymmetric background, there is room for a sort of fermionic Primakoff effect in which a photino-photon conversion may be induced by the fermionic sector of the supersymmetric background.

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Lorentz-symmetry violating physics in a supersymmetric scenario in (2 + 1)-D

Cited by 4 publications

References 54 publications

The Lorentz-violating real scalar field at thermal equilibrium

The Lorentz-violating real scalar field at thermal equilibrium

Tilted Dirac cone effects and chiral symmetry breaking in a planar four-fermion model

Aspects of Lorentz-Poincaré-symmetry violating physics in a supersymmetric scenario

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