Radiatively induced finite and (un)determined Chern-Simons-like terms

Abstract

The problem of Chern-Simons-like term induction via quantum corrections in four-dimensions is investigated in two different cases. In the first case, we consider two distinct approaches to deal with the exact fermion propagator of the extended QED theory up to the first order in the $b$-coefficient. We find different results for distinct approaches in the same regularization scheme. In the second case, we show that when we use a modified derivative expansion method and another regularization scheme, we obtain a result that exactly coincides with one of the results obtained in the former case. This seems to imply an ambiguity absence as one treats the fermion propagator and the self-energy tensor properly.

09 pages

References in corpus (7)

• On the aether-like Lorentz-breaking actions
• Lorentz and CPT violations from Chern-Simons modifications of QED
• Lorentz-CPT violation, radiative corrections and finite temperature
• A Remark on Lorentz Violation at Finite Temperature
• Chern-Simons like term generation in an extended model of QED under external conditions
• The structure of radiatively induced Lorentz and CPT violation in QED at finite temperature
• Radiatively induced finite and (un)determined Chern-Simons-like terms

Cited by in corpus (1)

• Radiatively induced finite and (un)determined Chern-Simons-like terms