Late-time electric screening in dS from EAdS loops
Abstract
We compute the one-loop gauge-field two-point functions analytically in scalar QED on dSd+1 for general dimension and scalar mass, using the EAdS reformulation of the in-in formalism arXiv:2007.09993. The Dirichlet EAdS gauge field acquires a Schwinger-type mass, with its longitudinal mode supplied by a composite of charged scalars obeying opposite boundary conditions, while the Neumann mode remains protected by gauge invariance. In dS, the Dirichlet correction induces an anomalous dimension γJ for the boundary current and modifies the late-time falloff of the electric field. This bulk calculation reproduces the boundary multiplet-recombination result of arXiv:2509.18888. Summing over the in-in contour branches gives the retarded dS bubble kernel, making direct contact with the Bros-Moschella framework. We establish a spectral Cutkosky rule that expresses the discontinuity of this kernel across the principal-series cut in the Casimir plane in terms of a two-particle cut, with both internal scalar lines placed on shell. Although the full bubble coefficient involves a 7F6 hypergeometric function, the cut collapses to a closed product of Gamma functions and determines the complete non-local part of the kernel through a dispersion relation. Analytic continuation of the same cut reproduces the complete one-loop result for γJ. In the complex Casimir plane, the loop-corrected Dirichlet photon appears as a pole on the second sheet and is therefore naturally interpreted as a dS resonance, or quasinormal mode, whose frequency is shifted at one loop.
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BibTeX
@misc{bianchi2026latetime,
title = {{Late-time electric screening in dS from EAdS loops}},
author = {Ernesto Bianchi and Sacha Ployet and Charlotte Sleight and Massimo Taronna},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.18782},
eprint = {2610.18782},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.18782},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Late-time electric screening in dS from EAdS loops
AU - Ernesto Bianchi
AU - Sacha Ployet
AU - Charlotte Sleight
AU - Massimo Taronna
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.18782
UR - https://arxiv.org/abs/2610.18782
AB - We compute the one-loop gauge-field two-point functions analytically in scalar QED on dS_d+1 for general dimension and scalar mass, using the EAdS reformulation of the in-in formalism arXiv:2007.09993. The Dirichlet EAdS gauge field acquires a Schwinger-type mass, with its longitudinal mode supplied by a composite of charged scalars obeying opposite boundary conditions, while the Neumann mode remains protected by gauge invariance. In dS, the Dirichlet correction induces an anomalous dimension γ_J for the boundary current and modifies the late-time falloff of the electric field. This bulk calculation reproduces the boundary multiplet-recombination result of arXiv:2509.18888. Summing over the in-in contour branches gives the retarded dS bubble kernel, making direct contact with the Bros-Moschella framework. We establish a spectral Cutkosky rule that expresses the discontinuity of this kernel across the principal-series cut in the Casimir plane in terms of a two-particle cut, with both internal scalar lines placed on shell. Although the full bubble coefficient involves a _7F_6 hypergeometric function, the cut collapses to a closed product of Gamma functions and determines the complete non-local part of the kernel through a dispersion relation. Analytic continuation of the same cut reproduces the complete one-loop result for γ_J. In the complex Casimir plane, the loop-corrected Dirichlet photon appears as a pole on the second sheet and is therefore naturally interpreted as a dS resonance, or quasinormal mode, whose frequency is shifted at one loop.
ER -