Effective potential in curved space and cut-off regularizations

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2011-11-11

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Coorientador

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Elsevier B.V.

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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. (C) 2011 Elsevier B.V. All rights reserved.

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Inglês

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Physics Letters B. Amsterdam: Elsevier B.V., v. 705, n. 3, p. 273-278, 2011.

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