Even the photon propagator must break de Sitter symmetry

Drazen Glavan; Tomislav Prokopec

doi:10.1016/j.physletb.2023.137928

Even the photon propagator must break de Sitter symmetry

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Abstract

The propagator for the massless vector field in de Sitter space cannot maintain de Sitter invariance in the general covariant gauge, except in the exactly transverse limit. This is due to a previously overlooked Ward-Takahashi identity that the propagator must satisfy. We construct the propagator that satisfies all the necessary conditions, and that preserves cosmological symmetries and dilation, but breaks spatial special conformal transformations. Our propagator vanishes in the infrared, contrary to previously reported de Sitter invariant results, which is relevant for loop computations. (c) 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.

Original language	English
Article number	137928
Number of pages	5
Journal	Physics Letters B
Volume	841
Early online date	Apr 2023
DOIs	https://doi.org/10.1016/j.physletb.2023.137928
Publication status	Published - 10 Jun 2023

Funding

D.G. was supported by the Czech Science Foundation (GACR) grant No. 20-28525S. This work is part of the Delta ITP consortium, a program of the Netherlands Organisation for Scientific Research (NWO) that is funded by the Dutch Ministry of Education, Culture and Science (OCW) - NWO project number 24.001.027.

Funders	Funder number
Czech Science Foundation (GACR)	24.001.027
Netherlands Organisation for Scientific Research (NWO) - Dutch Ministry of Education, Culture and Science (OCW) - NWO
Not added	20-28525S

Keywords

Massless

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1-s2.0-S0370269323002629-mainFinal published version, 275 KBLicence: CC BY

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Even the photon propagator must break de Sitter symmetry

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