OneLoop Effective Action for the Extended Spinor Electrodynamics with Violation of Lorentz.pdfVIP

ONE-LOOP EFFECTIVE ACTION FOR THE EXTENDED SPINOR ELECTRODYNAMICS WITH VIOLATION OF LORENTZ AND CPT SYMMETRY Yu.A. Sitenko 1 Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA 02139-4307, USA 1 0 and 0 2 Bogolyubov Institute for Theoretical Physics, National Academy of Sciences, n u Kyiv, 03143, Ukraine J 1 2 Abstract v 5 1 If violation of Lorentz and CPT symmetry is introduced into the fermion sector 2 of conventional quantum electrodynamics, then the Chern-Simons term is radiatively 3 induced with finite nonzero coefficient, as well as the Maxwell term is with logarithmi- 0 1 cally divergent one. The heat kernel expansion and the proper time methods are used 0 to determine the effective action in the one-loop approximation unambiguously. / h t- PACS numbers: 11.10.Gh, 11.30.Cp, 11.30.Er, 11.15.Tk p Keywords: Chern-Simons invariant; Effective action; Heat kernel; Fock-Schwinger method e h : v i Lorentz and CPT symmetry of conventional Maxwell electrodynamics is destroyed by X r inclusion a Chern-Simons term [1] into the action [2, 3, 4] a 1 4 µν µ 4 ν Γ = − d xF (x)Fµν (x) − k d xA (x)Fµν (x), (1) 4 µν 1 µνρω where F = ∂ A − ∂ A is the electromagnetic