In a two-scalar model, one-loop diagrams with mixed light and heavy internal lines collapse to local tadpole contributions in the infrared, matching the effective low-energy quartic theory in flat and weakly curved spacetime.
Curved spacetime effective field theory (cEFT) -- construction with the heat kernel method
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abstract
In the presented paper we tackle the problem of the effective field theory in curved spacetime (cEFT) construction. To this end, we propose to use the heat kernel method. After introducing the general formalism based on the well established formulas known from the application of the heat kernel method to deriving the one-loop effective action in curved spacetime, we tested it on selected problems. The discussed examples were chosen to serve as a check of validity of the derived formulas by comparing the obtained results to the known flat spacetime calculations. On the other hand, they allowed us to obtain new results concerning the influence of the gravity induced operators on the effective field theory without unnecessary calculational complications.
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Scalar model of effective field theory in curved space
In a two-scalar model, one-loop diagrams with mixed light and heavy internal lines collapse to local tadpole contributions in the infrared, matching the effective low-energy quartic theory in flat and weakly curved spacetime.