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- Title
A generalized Selberg zeta function for flat space cosmologies.
- Authors
Bagchi, Arjun; Keeler, Cynthia; Martin, Victoria; Poddar, Rahul
- Abstract
Flat space cosmologies (FSCs) are time dependent solutions of three-dimensional (3D) gravity with a vanishing cosmological constant. They can be constructed from a discrete quotient of empty 3D flat spacetime and are also called shifted-boost orbifolds. Using this quotient structure, we build a new and generalized Selberg zeta function for FSCs, and show that it is directly related to the scalar 1-loop partition function. We then propose an extension of this formalism applicable to more general quotient manifolds M /ℤ, based on representation theory of fields propagating on this background. Our prescription constitutes a novel and expedient method for calculating regularized 1-loop determinants, without resorting to the heat kernel. We compute quasinormal modes in the FSC using the zeroes of a Selberg zeta function, and match them to known results.
- Subjects
ZETA functions; FUNCTION spaces; COSMOLOGICAL constant; PHYSICAL cosmology; ORBIFOLDS; SPACE-time symmetries; RIEMANN hypothesis
- Publication
Journal of High Energy Physics, 2024, Vol 2024, Issue 4, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP04(2024)066