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De Sitter Breaking in Field Theory

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arxiv gr-qc/0408002 v1 pith:J7I7SMIP submitted 2004-07-31 gr-qc hep-phhep-th

R. P. Woodard This is my paper · ORCID
classification gr-qchep-phhep-th
keywords sitterinvariantfieldgaugepropagatorsequationsevengenerally
verification ladder T0 review T1 audit T2 compute T3 formal
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I argue against the widespread notion that manifest de Sitter invariance on the full de Sitter manifold is either useful or even attainable in gauge theories. Green's functions and propagators computed in a de Sitter invariant gauge are generally more complicated than in some noninvariant gauges. What is worse, solving the gauge-fixed field equations in a de Sitter invariant gauge generally leads to violations of the original, gauge invariant field equations. The most interesting free quantum field theories possess no normalizable, de Sitter invariant states. This precludes the existence of de Sitter invariant propagators. Even had such propagators existed, infrared divergent processes would still break de Sitter invariance.

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Cited by 2 Pith papers

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

  1. Graviton propagator in de Sitter space in a simple one-parameter gauge

    gr-qc 2025-11 unverdicted novelty 5.0 of 10

    Derives a relatively simple graviton propagator in de Sitter space for a one-parameter family of non-covariant gauges to enable gauge-dependence checks in loop computations.

  2. Resummations for Inflationary Quantum Gravity

    gr-qc 2025-01 conditional novelty 3.0 of 10

    Secular logarithms from inflationary graviton loops can be resummed by combining a modified stochastic formalism with a modified renormalization group, though the pure-gravity sector remains incomplete.

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