Effective Potential in Curved Space and Cut-Off Regularizations

Details Effective Potential in Curved Space and Cut-Off Regularizations Effective Potential in Curved Space and Cut-Off Regularizations

2011-07-12

arxiv.org/abs/1107.2262v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Several misprints in signs corrected. Added related thanks, also more comments and a few references. Fits the version to be pu

Scientific paper

We consider derivation of the effective potential for a scalar field in curved space-time within the physical regularization scheme, using two sorts of covariant cut-off regularizations. The first one is based on the local momentum representation and Riemann normal coordinates and the second is operatorial regularization, based on the Fock-Schwinger-DeWitt proper-time representation. We show, on the example of a self-interacting scalar field, that these two methods produce equal results for divergences, but the first one gives more detailed information about the finite part. Furthermore, we calculate the contribution from a massive fermion loop and discuss renormalization group equations and their interpretation for the multi-mass theories.

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