Curved spacetime effective field theory (cEFT) -- construction with the heat kernel method

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.

arXiv comment28 pages, 6 figures; citations expanded, appendix added, version accepted for publication in JHEP

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• Benchmarking ${}^{136}$Xe Neutrinoless $\beta \beta$ Decay Matrix Element Calculations with the ${}^{138}\mathrm{Ba}(p,t)$ Reaction
• Helical magnetic fields from Riemann coupling lead to baryogenesis
• The Universal One-Loop Effective Action with Gravity
• Yang-Mills Yukawa model in curved spacetime
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• Scattering approach for calculating one-loop effective action and vacuum energy
• Top-down approach to the curved spacetime effective feld theory (cEFT) -- theory and examples