Lorentz violation correction to the Aharonov-Bohm scattering

Anacleto, M. A.

doi:10.1103/physrevd.92.085035

Cited by 9 publications

(3 citation statements)

References 72 publications

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“…Out of the broad framework of the SME, a nonminimal CPT-odd interaction between fermions and photons was proposed [23], with interesting consequences in the nonrelativistic limit of Dirac equation concerning topological effects and geometrical phases [24][25][26][27][28][29][30], Landau level [31] and on the high energy Bhabha cross section [32]. Similar types of CPT-odd nonminimal coupling were also investigated in the context of radiative generation evaluations [33][34][35], as well as fermion scattering at zero temperature [36] and at finite temperature [37].…”

Section: Introductionmentioning

confidence: 99%

Fermion Scattering in a CPT-Even Lorentz Violation Quantum Electrodynamics

Santos

Ferreira

2018

Symmetry

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In this work, we reassess two known processes of Quantum Electrodynamics involving electrons and muons. The photon propagator is modified by a CPT-even Lorentz-violating (LV) tensor, while fermion lines and the vertex interaction are not altered. Using the Feynman rules, the associated cross sections for unpolarized scatterings are evaluated, revealing the usual energy dependence and Lorentz-violating contributions that induce space anisotropy. A possible route to constraining the LV coefficients is presented and the results properly commented.

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Section: Introductionmentioning

confidence: 99%

Fermion Scattering in a CPT-Even Lorentz Violation Quantum Electrodynamics

Santos

Ferreira

2018

Symmetry

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“…The effect can also be simulated in quantum field theory as for example by using a nonrelativistic field theory for bosonic particles which interact with a Chern-Simons field [24]. More specifically, in [25] was addressed the AB effect considering the noncommutative spacetime and in [26] the effect was obtained due to violation of Lorentz symmetry in quantum field theory.…”

Section: Introductionmentioning

confidence: 99%

Aharonov–Bohm effect for a fermion field in a planar black hole “spacetime”

et al. 2017

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In this paper we consider the dynamics of a massive spinor field in the background of the acoustic black hole spacetime. Although this effective metric is acoustic and describes the propagation of sound waves, it can be considered as a toy model for the gravitational black hole. In this manner, we study the properties of the dynamics of the fermion field in this "gravitational" rotating black hole as well as the vortex background. We compute the differential cross section through the use of the partial wave approach and show that an effect similar to the gravitational AharonovBohm effect occurs for the massive fermion field moving in this effective metric. We discuss the limiting cases and compare the results with the massless scalar field case.

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“…Once the pressure is generally a parameter that can be easily adjustable and it can represent the external field source, thus investigating the analogous Aharonov-Bohm (AB) effect due to a scattering of planar waves by an idealized draining bathtub vortex [66][67][68][69][70][71] is an interesting way of testing analog models via neo-Newtonian theory. As shown in [72], by analyzing the effect of AB it has been found that the phase change displays a dependence on the pressure and this has analogy with a magnetic flux.…”

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confidence: 99%

The entropy of an acoustic black hole in neo-Newtonian theory

Anacleto

Salako

Brito

et al. 2018

Int. J. Mod. Phys. A

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In this paper we consider the metric of a 2+1-dimensional rotating acoustic black hole in the neo-Newtonian theory to compute the Hawking temperature and applying the quantum statistical method, we calculate the statistical entropy using a corrected state density due to the generalized uncertainty principle (GUP). In our calculations we have shown that the obtained entropy is finite and correction terms are generated. Moreover, the computation of the entropy for this method does not present logarithmic corrections. I. INTRODUCTIONThe study to understand the entropy of black holes is one of the most important issues in theoretical physics. It has been proposed by Bekenstein and Hawking that the black hole entropy is proportional to its horizon area [1][2][3][4]. Since then, various methods have been proposed in the literature to explore the statistical origin of black holes entropy. These methods are grounded on the understanding that the black hole entropy can be viewed as the entanglement entropy related to the degree of entanglement between the modes in both sides of the horizon. In other words, the Bekenstein-Hawking entropy can be obtained via the statistical mechanics of a system around the horizon [5,6]. One of such methods is the so-called brick-wall method introduced by G. 't Hooft [7]. To calculate the entropy by this method it is necessary to introduce an ultraviolet cut-off in order to eliminate the divergences in the density of states near the horizon of the black hole. In Ref. [8][9][10], by applying the brick-wall method, one has been computed the rate of entropy production in the emitted Hawking radiation of an acoustic black hole in (1 + 1) -dimensions.On the other hand, as shown by the authors in [11][12][13][14][15], the brick-wall model does not present divergences when the GUP is considered. In addition, the authors in [16][17][18][19][20][21][22] considering a density of states modified by the GUP computed the statistical entropy of many black holes. Moreover, considering the effects of the GUP in the tunneling formalism, the quantum-corrected Hawking temperature and entropy of black holes has been investigated [23][24][25][26][27][28][29][30], showing that in the vicinity of the event horizon the statistical entropy of black holes does not present divergences. In [31] has been introduced an expression for the state density modified by the GUP. In [32,33], considering the state density modified by the GUP, the statistical entropy was calculated for an acoustic black hole rotating in (2+1) dimensions and the divergences appearing in the brick wall model are eliminated. Thus, no cut-off is required in the state density [34].Since 1981 with Unruh's seminal work [35,36] on models mimicking gravity [37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56], the increase in interest in the study of Hawking radiation has been a very important field of investigation for the understanding of quantum gravity. In contrast to Hawking radiation, which is a kinematical effect, analog ...

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Lorentz violation correction to the Aharonov-Bohm scattering

Cited by 9 publications

References 72 publications

Fermion Scattering in a CPT-Even Lorentz Violation Quantum Electrodynamics

Fermion Scattering in a CPT-Even Lorentz Violation Quantum Electrodynamics

Aharonov–Bohm effect for a fermion field in a planar black hole “spacetime”

The entropy of an acoustic black hole in neo-Newtonian theory

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