Induction of the Lorentz-violating effective actions in quantum electrodynamics

Abstract

We introduce a Lorentz-symmetry violating extended quantum electrodynamics (QED) which preserves gauge symmetry. The extended fermionic sector can radiatively induce an extended effective action which simultaneously displays the same electromagnetic terms present in the Carroll-FieldJackiw, Myers-Pospelov and Aether actions.

One-loop Schwinger effect in the presence of Lorentz-violating background fields

“…Basically, starting from a Quantum Electrodynamics (QED) Lagrangian with violation of Lorentz and CPT symmetries in the fermionic sector (by radiative corrections and integrating out the fermion fields), new violation terms are generated in the electromagnetic sector. Many other works about such ideas can also be mena e-mail: rafaelljc@id.uff.br (corresponding author) b e-mail: rodrigo_sobreiro@id.uff.br tioned, [15,16,[34][35][36][37][38][39][40][41]. See also [42,43] for the non-Abelian case.…”

One-loop Schwinger effect in the presence of Lorentz-violating background fields

“…Basically, it was shown that it was possible to start from the Lorentz and CPT violating fermionic sector of Quantum Electrodynamics (QED) and generate, through radiative correction, terms that also break CPT and Lorentz invariance. Many other works about such ideas can also be mentioned, [15,16,[34][35][36][37][38][39][40][41][42]. See also [43,44] for the non-Abelian case.…”