Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions: Radiative Corrections

Abstract

We study radiative corrections to massless quantum electrodynamics modified by two dimension-five LV interactions $\bar{\Psi }{\gamma }^{\mu }{b}^{\prime \nu }{F}_{\mu \nu }\Psi$ and $\bar{\Psi }{\gamma }^{\mu }{b}^{\nu }{\tilde{F}}_{\mu \nu }\Psi$ in the framework of effective field theories. All divergent one-particle-irreducible Feynman diagrams are calculated at one-loop order and several related issues are discussed. It is found that massless quantum electrodynamics modified by the interaction $\bar{\Psi }{\gamma }^{\mu }{b}^{\prime \nu }{F}_{\mu \nu }\Psi$ alone is one-loop renormalizable and the result can be understood on the grounds of symmetry. In this context the one-loop Lorentz-violating beta function is derived and the corresponding running coefficients are obtained.

Comments: 13 pages, 1 figure. Version to appear in EPJC