English

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

High Energy Physics - Theory 2019-01-11 v2 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.1811.01656,
  title  = {Curved spacetime effective field theory (cEFT) -- construction with the heat kernel method},
  author = {Łukasz Nakonieczny},
  journal= {arXiv preprint arXiv:1811.01656},
  year   = {2019}
}

Comments

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

R2 v1 2026-06-23T05:04:13.704Z