Non-perturbative corrections to the one-loop free energy induced by a massive scalar field on a stationary slowly varying in space gravitational background

Igor Kalinichenko, Peter Kazinski

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3 Citations (Scopus)


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 non-perturbative 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.

Original languageEnglish
Article number111
JournalJournal of High Energy Physics
Issue number8
Publication statusPublished - 2014
Externally publishedYes



  • Anomalies in Field and String Theories
  • Models of Quantum Gravity
  • Nonperturbative Effects
  • Renormalization Regularization and Renormalons

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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