Investigation of theKF-type Lorentz-symmetry breaking gauge models with vortexlike configurations

Abstract

In this work, we present two possible venues to accomodate the KF -type Lorentz-symmetry violating Electrodynamics in an N = 1-supersymmetric framework. A chiral and a vector superfield are chosen to describe the background that signals Lorentz-symmetry breaking. In each case, the K µνκλ -tensor is expressed in terms of the components of the background superfield that we choose to describe the breaking. We also present in detail the actions with all fermionic partners of the background that determine K µνκλ .

Aspects of CPT-even Lorentz-symmetry violating physics in a supersymmetric scenario

“…[58], two ways have been suggested to implement a SUSY-extension for a 4-vector background: ξ μ may appear as the gradient of a scalar (in this case, LSV is in a chiral superfield) or a complete vector (with transverse and longitudinal components); in the latter case, ξ μ should be a vector component of what we call a vector superfield. To consider a simpler fermionic set of partners, we choose to place ξ μ in the chiral superfield: in the first case the supersymmetry is implemented through a chiral multiplet and in the other by means of a vector multiplet.…”

A relativistic quantum oscillator subject to a Coulomb-type potential induced by effects of the violation of the Lorentz symmetry

“…Recently, inspired by Refs. [20,21,33,57,58], two of us have studied the relativistic quantum dynamics of a scalar particle under the effects of the Lorentz symmetry violation by introducing a nonminimal coupling into the Klein-Gordon equation given byp [59,60], where g is a constant, F µν (x) is the electromagnetic tensor and (K F ) µναβ corresponds to a tensor that governs the Lorentz symmetry violation out of the Standard Model Extension [20,21,55,57,58]. Thereby, by introducing this nonminimal coupling into Eq.…”

Lorentz symmetry breaking effects on relativistic EPR correlations

“…[110], one can find the current limits on the coefficients of the Lorentz symmetry violation. In recent years, Lorentz symmetry breaking effects have been investigated in the hydrogen atom [111], on the Rashba coupling [112,113], in a quantum ring [114], in Weyl semi-metals [115], in tensor backgrounds [116,117], in the quantum Hall effect [118], and geometric quantum phases [119][120][121].…”