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

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Cited by in corpus (10)

• Constraining CPT-even and Lorentz-violating nonminimal couplings with the electron magnetic and electric dipole moments
• Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
• Generation of geometrical phases and persistent spin currents in 1-dimensional rings by Lorentz-violating terms
• General CPT-even dimension-five nonminimal couplings between fermions and photons yielding EDM and MDM
• The Lorentz-violating real scalar field at thermal equilibrium
• Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• Constraining EDM and MDM lepton dimension five interactions in the electroweak sector
• Spontaneous Lorentz symmetry violation and topological defects for the Chern-Simons matter vector field