Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-11-21
Phys.Rev. D69 (2004) 125009
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, very minor changes
Scientific paper
10.1103/PhysRevD.69.125009
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.
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