Regularization Ambiguity Problem for the Chern-Simons Shift

Details Regularization Ambiguity Problem for the Chern-Simons Shift Regularization Ambiguity Problem for the Chern-Simons Shift

1998-09-05

arxiv.org/abs/hep-th/9809036v1

Mod.Phys.Lett. A13 (1998) 2231-2237

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, 1 figure, latex 2e, will appear at Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732398002382

We consider the Chern-Simons parameter shift with the hybrid regularization consisting of the higher covariant derivative (HCD) and the Pauli-Villars (PV) regulators. We show that the shift is closely related to the parity of the regulators and get the shift and no-shift results by a suitable choice of the PV regulators. A naive treatment of the HCD term leads incorrect value of the shift.

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