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Photon propagator in de Sitter space in the general covariant gauge

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arxiv 2212.13982 v1 pith:U3Y646HO submitted 2022-12-28 gr-qc hep-phhep-th

Dražen Glavan , Tomislav Prokopec This is my paper · ORCID
classification gr-qchep-phhep-th
keywords propagatorgaugespacecovariantphotonsitterconstructgeneral
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We consider a free photon field in $D$-dimensional de Sitter space, and construct its propagator in the general covariant gauge. Canonical quantization is employed to define the system starting from the classical theory. This guarantees that the propagator satisfies both the equation of motion and subsidiary conditions descending from gauge invariance and gauge fixing. We first construct the propagator as a sum-over-modes in momentum space, carefully accounting for symmetry properties of the state. We then derive the position space propagator in a covariant representation, that is our main result. Our conclusions disagree with previous results as we find that the position space photon propagator necessarily breaks de Sitter symmetry, except in the exact transverse gauge limit.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A remarkably simple covariant graviton propagator in Anti-de Sitter spacetime

    hep-th 2025-12 conditional novelty 7.0 of 10

    A special gauge choice (β=1, α=4(d+2)/d) yields a simple graviton propagator in (A)dS satisfying ∇^μ μ ∇^ν μ G_{μν,α'β'} = 0.

  2. De Sitter quantum gravity within the covariant Lorentzian approach to asymptotic safety

    hep-th 2025-02 conditional novelty 7.0 of 10

    In the Einstein-Hilbert truncation on de Sitter, the Lorentzian FRG flow exhibits a non-Gaussian UV fixed point for ζ=1/2 and ζ=1 gauges over restricted parameter ranges.

  3. Bulk-to-bulk photon propagator in AdS

    hep-th 2025-10 unverdicted novelty 6.0 of 10

    The bulk-to-bulk photon propagator in Euclidean AdS is derived in axial, Coulomb and covariant gauges, with the simplest position-space form in the Fried–Yennie gauge ξ=d/(d−2).

  4. Quantum de Sitter Entropy and Sphere Partition Functions: A-Hypergeometric Approach to Higher Loop Corrections

    hep-th 2024-11 conditional novelty 6.0 of 10

    Scalar and vector Feynman integrals on the sphere are mapped to A-hypergeometric (GKZ) systems via embedding space propagators, enabling algorithmic higher-loop computations.

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