The Universal One-Loop Effective Action with Gravity

Abstract

We complete the so-called Universal One-Loop Effective Action (UOLEA) with effects of gravity and provide a systematic approach to incorporate higher dimensional operators in curved spacetime. The functional determinant stemming from the path integral is computed using the Covariant Derivative Expansion (CDE), in a momentum representation that does not rely on a specific choice of coordinate to be defined, as it often is. This very simple and efficient approach also manifests an interesting novelty as it allows to integrate out chiral fermions in curved spacetime in a direct manner. The presented method would very well fit in a code that performs CDE, offering the possibility to integrate out at one-loop fields on a curved spacetime background, including spin-2 fields, like the graviton. Eventually these results should provide an interesting way to study low energy effects of UV completions of gravity.

arXiv comment38 pages, 4 tables

References in corpus (21)

• The Universal One-Loop Effective Action
• Dynamical symmetry breaking in curved spacetime -review-
• A Proof of Concept for Matchete: An Automated Tool for Matching Effective Theories
• Covariant diagrams for one-loop matching
• Extending the Universal One-Loop Effective Action: Heavy-Light Coefficients
• Mixed Heavy-Light Matching in the Universal One-Loop Effective Action
• Riemann Normal Coordinate expansions using Cadabra
• A de Sitter Farey Tail
• The Fermionic Universal One-Loop Effective Action
• STrEAMlining EFT Matching
• SuperTracer: A Calculator of Functional Supertraces for One-Loop EFT Matching
• Gravitational corrections to the Euler-Heisenberg Lagrangian
• On the effective action for scalars in a general manifold to any loop order
• Keeping matter in the loop in dS${}_3$ quantum gravity
• Resurgence, Conformal Blocks, and the Sum over Geometries in Quantum Gravity
• Curved spacetime effective field theory (cEFT) -- construction with the heat kernel method
• Anomalies from an effective field theory perspective
• New Covariant Feynman Rules for Effective Field Theories
• Effective action for Einstein-Maxwell theory at order RF**4
• Off-Diagonal Elements of the DeWitt Expansion from the Quantum Mechanical Path Integral
• Anomalies From the Covariant Derivative Expansion

Cited by in corpus (1)

• Trace Anomaly of Weyl Fermions via the Path Integral