Feynman spectral action of the wave operator on asymptotically de Sitter spaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866917097000402944 |
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| author | Zeitoun, Ruben |
| author_facet | Zeitoun, Ruben |
| contents | In this paper, we investigate the wave operator $\square_g$ on non-trapping (at all energies) even asymptotically de Sitter spaces. We construct a Feynman operator on the conformal extension of asymptotically de Sitter spaces and give a proof of uniform microlocal estimates for the Feynman operator in this setting. This enables the study of the Lorentzian "spectral" zeta functions in asymptotically de Sitter and the construction of a "spectral" action of the Feynman propagator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_17359 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Feynman spectral action of the wave operator on asymptotically de Sitter spaces Zeitoun, Ruben Analysis of PDEs Mathematical Physics 35L05 In this paper, we investigate the wave operator $\square_g$ on non-trapping (at all energies) even asymptotically de Sitter spaces. We construct a Feynman operator on the conformal extension of asymptotically de Sitter spaces and give a proof of uniform microlocal estimates for the Feynman operator in this setting. This enables the study of the Lorentzian "spectral" zeta functions in asymptotically de Sitter and the construction of a "spectral" action of the Feynman propagator. |
| title | Feynman spectral action of the wave operator on asymptotically de Sitter spaces |
| topic | Analysis of PDEs Mathematical Physics 35L05 |
| url | https://arxiv.org/abs/2511.17359 |