Lorentz Violation, Möller Scattering, and Finite Temperature

Abstract

Lorentz and CPT symmetries may be violated in new physics that emerges at very high energy scale, that is, at the Planck scale. The differential cross section of the Möller scattering due to Lorentz violation at finite temperature is calculated. Lorentz-violating effects emerge from an interaction vertex due to a CPT-odd nonminimal coupling in the covariant derivative. The finite temperature effects are determined using the Thermo Field Dynamics (TFD) formalism.

Fermion Scattering in a CPT-Even Lorentz Violation Quantum Electrodynamics

“…The modified cross sections have shown the same energy behavior as the usual case. Given the dimensionless nature of the LV parameters, upper bounds of similar magnitude to the ones of Equations (37) and (38) could also be attained in this case.…”

“…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]. New types of CPT-even nonminimal interaction were proposed in the context of the Dirac equation [38], with repercussions on the study of electron magnetic and electric dipole moments [39] and shifts of the energy levels of particles confined to a Penning trap [40].…”

The Lorentz-violating real scalar field at thermal equilibrium

“…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).…”

Effects of Lorentz violation in the Bose-Einstein condensation

“…The finite temperature effects in the context of Lorentz symmetry violation have been extensively studied in the last years, specially in the context of radiative corrections [9][10][11], tree level scatterings [12][13][14][15], massless QED [16], ambiguities in the Chern-Simons induction and non-analiticity [17][18][19]. In this paper we are interested in the influence of the Lorentzviolating extension of the scalar sector [7] in the finite temperature regime and particularly in the Bose-Einstein condensation.…”