Effective action in elliptic and hyperbolic spacetimes
Enrique Alvarez, Jesus Anero

TL;DR
This paper calculates the complete one-loop scalar effective action in both hyperbolic and elliptic spacetime geometries, advancing understanding of quantum effects in these curved backgrounds.
Contribution
It provides the first comprehensive computation of the one-loop scalar effective action in hyperbolic and elliptic spacetimes.
Findings
Explicit formulas for the effective action in both geometries
Insights into quantum field behavior in curved spacetimes
Potential applications in quantum gravity and cosmology
Abstract
The full one-loop (scalar) effective action is computed for both hyperbolic and elliptic spacetimes.
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