SUSY QED with Lorentz-asymmetric fermionic matter and a glance at the electron's EDM

Abstract

This contribution sets out to pursue the investigation of a supersymmetric electrodynamics model with Lorentz-symmetry violation (LSV) manifested by a space-time unbalance in the propagation of the fermionic charged matter. Despite violation of Lorentz symmetry, the supersymmetry algebra is kept untouched. A superspace approach is then adopted to build up an $\mathcal{N}=1$-supersymmetric Abelian gauge theory in presence of a Lorentz-violating background supermultiplet that accommodates the space-time asymmetry parameter of the charged matter. It is described, in this scenario, how the particular Lorentz-symmetry breaking, brought about by the fermionic matter, affects its (matter) scalar partners and the photon/photino that minimally couple to charged matter. From the (modified) Dirac, Klein-Gordon and Maxwell field equations, the corresponding dispersion relations are worked out to inspect and discuss the physical effects of the LSV Majorana fermion condensates that naturally emerge from the background supermultiplet. Finally, efforts are targeted to investigate the Gordon decomposition of the charged lepton electromagnetic current. This is carried out by iterating the (fermion and scalar) matter field equations, which points to an effective contribution to the electron's electric dipole moment. This result allows us to attain an estimate of the pseudo-vector condensate of the (LSV) Majorana background fermion.

33 pages, 1 figure. Several detailed explanations, discussions and references added to improve presentation. Fits the published version

References in corpus (13)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Topological Field Theory of Time-Reversal Invariant Insulators
• Dirac materials
• A new bound on the electron's electric dipole moment
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
• Emergence of supersymmetry at a critical point of a lattice model
• Theory of a quantum critical phenomenon in a topological insulator: (3+1)-dimensional quantum electrodynamics in solids
• Lorentz violation in Dirac and Weyl semimetals
• Lorentz symmetry breaking -- classical and quantum aspects
• Aspects of the gauge boson-gaugino mixing in a supersymmetric scenario with Lorentz-symmetry violation
• Re-assessing special aspects of Dirac fermions in presence of Lorentz-symmetry violation

Cited by in corpus (1)

• Extending the Euler-Heisenberg action to include effects of local Lorentz-symmetry violating backgrounds