English

What is a photon in de Sitter spacetime?

High Energy Physics - Theory 2025-12-03 v4 General Relativity and Quantum Cosmology

Abstract

The states of a single photon in four-dimensional de Sitter (dS) spacetime form a Unitary Irreducible Representation (UIR) of SO(1,4), which we call the photon UIR. While in flat spacetime photons are intimately tied to gauge symmetry, we demonstrate that in de Sitter, photon states emerge generically in any quantum field theory, even without an underlying U(1) gauge field. We derive a K\"all\'en-Lehmann representation for antisymmetric tensor two-point functions and show that numerous composite operators constructed from massive free fields can create states in the photon UIR. Remarkably, we find that some of these operators exhibit two-point functions with slower late-time and large-distance decay than the electromagnetic field strength itself, challenging the conventional notion that photons dominate the infrared regime. Using our spectral representation, we establish non-perturbative bounds on the late-time behavior of electric and magnetic fields in de Sitter, with potential implications for primordial magnetogenesis. Through one-loop calculations, we demonstrate that both the creation of photon states and the enhanced late-time large-distance behavior persist in weakly interacting theories.

Keywords

Cite

@article{arxiv.2505.00761,
  title  = {What is a photon in de Sitter spacetime?},
  author = {Manuel Loparco and Joao Penedones and Yannis Ulrich},
  journal= {arXiv preprint arXiv:2505.00761},
  year   = {2025}
}

Comments

45+16 pages. Added references and fixed typos in subsequent versions

R2 v1 2026-06-28T23:18:25.331Z