Characters, quasinormal modes, and Schwinger pairs in $d{S}_2$ with flux

Abstract

An integral representation of the 1-loop partition function for charged scalars and spinors, minimally coupled to a uniform $U(1)$ field on $S^2$, is given in terms of $SO(1,2)$ Harish-Chandra group characters and evaluated exactly in terms of Hurwitz $\zeta$-functions. Analytically continuing the $U(1)$ field, we interpret the path integrals as quasicanonical partition functions in $d{S}_2$ with an electric field. The character itself is obtained as a trace over states living at the future boundary of de Sitter and has a quasinormal mode expansion. The imaginary part of the partition function captures Schwinger pair creation in the static patch at finite temperature. The thermal enhancement is most noticeable for scalar masses below Hubble and leads to non-monotonicity of the current as a function of the field. This parameter range, when dimensionally reducing from a charged or rotating Nariai spacetime, is excluded by Swampland-inspired bounds. Around the $Ad{S}_2$ black hole, in contrast to $d{S}_2$, there is a threshold to pair creation.

38 pages, 9 figures, v4 (minor update in boundary calculation)

References in corpus (16)

• The Schwinger mechanism revisited
• Micromanaging de Sitter holography
• Schwinger Effect in 4D de Sitter Space and Constraints on Magnetogenesis in the Early Universe
• Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
• Festina Lente: EFT Constraints from Charged Black Hole Evaporation in de Sitter
• The FL bound and its phenomenological implications
• One-Loop Effective Action and Schwinger Effect in (Anti-) de Sitter Space
• Weak gravity conjecture in the asymptotical dS and AdS background
• Observer dependence of bubble nucleation and Schwinger pair production
• AdS one-loop partition functions from bulk and edge characters
• Quantum fields in the static de Sitter universe
• Higher spin de Sitter quasinormal modes
• Schwinger Effect from Near-extremal Black Holes in (A)dS Space
• Three-loop Euler-Heisenberg Lagrangian in 1+1 QED, part 1: single fermion-loop part
• On quantization in background scalar fields
• Partition functions of higher derivative conformal fields on conformally related spaces

Cited by in corpus (9)

• Black Hole Scattering and Partition Functions
• de Sitter at all loops: the story of the Schwinger model
• Free energy and entropy in Rindler and de Sitter space-times
• Partition functions and entanglement entropy: Weyl graviton and conformal higher spin fields
• Membrane nucleation rates from holography
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Bulk-boundary entanglement correspondence and the Ryu-Takayanagi conjecture in an $Ad{S}_2/CF{T}_1$ setup
• De Sitter Horizon Edge Partition Functions
• Real-time observables in de Sitter thermodynamics