Remarks on the causality, unitarity and supersymmetric extension of the Lorentz and CPT-violating Maxwell-Chern-Simons model

Abstract

The gauge-invariant Chern-Simons-type Lorentz-and CPT-breaking term is here re-assessed and issues like causality, unitarity, spontaneous gauge-symmetry breaking are investigated. Moreover, we obtain a minimal extension of such a system to a supersymmetric environment. We comment on resulting peculiar self-couplings for the gauge sector, as well as on background contribution for gaugino masses.

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

“…These two terms are called as the CPT-odd sector [20,21] and the CPT-even sector [55,56] and they start with tiny values and go for energy scales beyond the Standard…”

“…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-breaking effects in scalar-tensor theories of gravity

“…Actually, supersymmetry imposes that for the Chern-Simons-type Lorentz breaking to be realized, the background vector that condensates must indeed be the gradient of a scalar field [40] this is why we adopted the torsion as the dilaton gradient.…”

Coulomb-Type Interaction under Lorentz Symmetry Breaking Effects

“…where is a constant, ] ( ) is the electromagnetic tensor, and ( ) ] is the tensor that governs the Lorentz symmetry violation out of SME [5,6,29,34]. From the properties of the tensor ( ) ] [18], it is well-known that it can be decomposed into 3 × 3 matrices that give its parity-even sector (( ) and ( ) ) and its parity-odd sector (( ) = −( ) ) (the matrices of the parity-even sector are defined as ( ) = −2( ) 0 0 and ( ) = (1/2) ( ) and are symmetric.…”