2003/11/30 by B. Altschul · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.69.125009
published as Phys.Rev. D69 (2004) 125009 · 8 pages, very minor changes
arxiv created 2004/02/11 · arxiv updated 2009/12/01
We consider a Lorentz-violating modification to the fermionic Lagrangian of QED that is known to produce a finite Chern-Simons term at leading order. We compute the second order correction to the one-loop photon self-energy in the massless case using an exact propagator and a nonperturbative formulation of the theory. This nonperturbative theory assigns a definite value to the coefficient of the induced Chern-Simons term; however, we find that the theory fails to preserve gauge invariance at higher orders. We conclude that the specific nonperturbative value of the Chern-Simons coefficient has no special significance.