Induced Lorentz- and CPT-violating Chern-Simons term in QED: Fock-Schwinger proper time method

Details Induced Lorentz- and CPT-violating Chern-Simons term in QED: Fock-Schwinger proper time method Induced Lorentz- and CPT-violating Chern-Simons term in QED: Fock-Schwinger proper time method

2001-01-16

arxiv.org/abs/hep-th/0101097v1

Phys.Rev. D63 (2001) 105015

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figure

Scientific paper

10.1103/PhysRevD.63.105015

Using the Fock-Schwinger proper time method, we calculate the induced Chern-Simons term arising from the Lorentz- and CPT-violating sector of quantum electrodynamics with a $b_\mu \bar{\psi}\gamma^\mu \gamma_5 \psi$ term. Our result to all orders in $b$ coincides with a recent linear-in-$b$ calculation by Chaichian et al. [hep-th/0010129 v2]. The coincidence was pointed out by Chung [Phys. Lett. {\bf B461} (1999) 138] and P\'{e}rez-Victoria [Phys. Rev. Lett. {\bf 83} (1999) 2518] in the standard Feynman diagram calculation with the nonperturbative-in-$b$ propagator.

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