Characters, quasinormal modes, and Schwinger pairs in dS2 with flux

Grewal, Manvir; Parmentier, Klaas

doi:10.1007/jhep03(2022)165

Title: Characters, quasinormal modes, and Schwinger pairs in dS₂ with flux

Journal Article · Thu Mar 24 00:00:00 EDT 2022 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep03(2022)165· OSTI ID:1976462

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Columbia University, New York, NY (United States)

An integral representation of the 1-loop partition function for charged scalars and spinors, minimally coupled to a uniform U(1) field on S², is given in terms of SO(1, 2) Harish-Chandra group characters and evaluated exactly in terms of Hurwitz ζ-functions. Analytically continuing the U(1) field, we interpret the path integrals as quasicanonical partition functions in dS₂ 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 AdS₂ black hole, in contrast to dS₂, there is a threshold to pair creation.

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Research Organization:: Columbia Univ., New York, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0011941

OSTI ID:: 1976462

Journal Information:: Journal of High Energy Physics (Online), Vol. 2022, Issue 3; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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Title: Characters, quasinormal modes, and Schwinger pairs in dS₂ with flux