QF2 - Quantum Field Theory on Curved Spacetime |
Speaker |
Kalinichenko, Igor |
Coauthors |
Kazinski, Peter O. |
Talk Title |
Non-perturbative Corrections To The Gravitational Effective Action Induced By A Scalar Field At Finite And Zero Temperatures |
Abstract |
The explicit expressions for the one-loop non-perturbative corrections to the gravitational effective action induced by a scalar field on a stationary gravitational background are obtained both at zero and finite temperatures. The perturbative and nonperturbative contributions to the one-loop effective action are explicitly separated. It is proved that, after a suitable renormalization, the perturbative part of the effective action at zero temperature can be expressed in a covariant form solely in terms of the metric and its derivatives. This part coincides with the known large mass expansion of the one-loop effective action. The non-perturbative part of the renormalized one-loop effective action at zero temperature is proved to depend explicitly on the Killing vector defining the vacuum state of quantum fields. This part cannot be expressed in a covariant way through the metric and its derivatives alone. The implications of this result for the structure and symmetries of the effective action for gravity are discussed. |
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