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

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

2007-11-26

arxiv.org/abs/0711.3992v1

Physics

High Energy Physics

High Energy Physics - Theory

09 pages

Scientific paper

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.

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