Lorentz-violating effects in three-dimensional $QED$

Abstract

Inspired in discussions presented lately regarding Lorentz-violating interaction terms in \cite{13,6}, we propose here a slightly different version for the coupling term. We will consider a modified quantum electrodynamics with violation of Lorentz symmetry defined in a $\left(2+1\right)$-dimensional spacetime. We define the Lagrangian density with a Lorentz-violating interaction, where the the spacetime dimensionality is explicitly taken into account in its definition. The work encompasses an analysis of this model at both zero and finite-temperature, where very interesting features are known to occur due to the spacetime dimensionality. With that in mind we expect that the spacetime dimensionality may provide new insights about the radiative generation of higher-derivative terms into the action, implying in a new Lorentz-violating electrodynamics, as well the nonminimal coupling may provide interesting implications on the thermodynamical quantities.

14 pages, to appear at Int. J. Mod. Phys. A

References in corpus (10)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Lorentz symmetry breaking as a quantum field theory regulator
• Renormalization of Lorentz violating theories
• A new CPT-even and Lorentz-Violating nonminimal coupling in the Dirac equation
• One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation
• Lorentz violation bounds on Bhabha scattering
• Radiatively induced Lorentz-violating operator of mass dimension five in QED
• Effects of a CPT-even and Lorentz-violating nonminimal coupling on the electron-positron scattering
• Induced Chern-Simons-like action in Lorentz-violating massless QED
• Endemic Infrared Divergences in QED3 at Finite Temperature