Cancellation of one-parameter graviton gauge dependence in the effective scalar field equation in de Sitter
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866917428874706944 |
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| author | Glavan, Dražen Miao, Shun-Pei Prokopec, Tomislav Woodard, Richard P. |
| author_facet | Glavan, Dražen Miao, Shun-Pei Prokopec, Tomislav Woodard, Richard P. |
| contents | We investigate gauge dependence of one-graviton-loop corrections to the effective field equation of the massless, minimally coupled scalar in de Sitter, obtained by including source and observer corrections to the effective self-mass correcting the equation. Using the $Δα$ variation of the de Sitter-breaking graviton propagator in a one-parameter family of gauges, we compute the gauge-dependent contributions to the effective self-mass of a massless minimally coupled scalar mediating interactions between heavy scalars. We show that gauge dependence cancels provided the contributions from all diagram classes are collected, including one-loop corrections to external mode functions, which play a qualitatively new role relative to flat space. The resulting cancellation supports the construction of graviton gauge-independent cosmological quantum-gravitational observables from quantum-corrected effective equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_07908 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Cancellation of one-parameter graviton gauge dependence in the effective scalar field equation in de Sitter Glavan, Dražen Miao, Shun-Pei Prokopec, Tomislav Woodard, Richard P. High Energy Physics - Theory General Relativity and Quantum Cosmology We investigate gauge dependence of one-graviton-loop corrections to the effective field equation of the massless, minimally coupled scalar in de Sitter, obtained by including source and observer corrections to the effective self-mass correcting the equation. Using the $Δα$ variation of the de Sitter-breaking graviton propagator in a one-parameter family of gauges, we compute the gauge-dependent contributions to the effective self-mass of a massless minimally coupled scalar mediating interactions between heavy scalars. We show that gauge dependence cancels provided the contributions from all diagram classes are collected, including one-loop corrections to external mode functions, which play a qualitatively new role relative to flat space. The resulting cancellation supports the construction of graviton gauge-independent cosmological quantum-gravitational observables from quantum-corrected effective equations. |
| title | Cancellation of one-parameter graviton gauge dependence in the effective scalar field equation in de Sitter |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2602.07908 |