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arXiv · 2403.16166

de Sitter at all loops: the story of the Schwinger model

Dionysios Anninos·Tarek Anous·Alan Rios Fukelman
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Abstract

We consider the two-dimensional Schwinger model of a massless charged fermion coupled to an Abelian gauge field on a fixed de Sitter background. The theory admits an exact solution, first examined by Jayewardena, and can be analyzed efficiently using Euclidean methods. We calculate fully non-perturbative, gauge-invariant correlation functions of the electric field as well as the fermion and analyze these correlators in the late-time limit. We compare these results with the perturbative picture, for example by verifying that the one-loop contribution to the fermion two-point function, as predicted from the exact solution, matches the direct computation of the one-loop Feynman diagram. We demonstrate many features endemic of quantum field theory in de Sitter space, including the appearance of late-time logarithms, their resummation to de Sitter invariant expressions, and Boltzmann suppressed non-perturbative phenomena, with surprising late-time features.

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Dionysios Anninos, Tarek Anous, Alan Rios Fukelman. 2024-09-11. de Sitter at all loops: the story of the Schwinger model. https://doi.org/10.1007/jhep08(2024)155

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