A non-perturbative construction of the de Sitter late-time boundary
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929609332752384 |
|---|---|
| author | Vaziri, Kamran Salehi |
| author_facet | Vaziri, Kamran Salehi |
| contents | We propose a new approach for constructing the late-time conformal boundary of quantum field theory in de Sitter spacetime. A boundary theory which consists of a continuous family of primary operators residing on unitary irreducible representations, the principal series. These boundary operators exhibit two-point functions that include contact terms alongside standard CFT two-point functions. We introduce a bulk-to-boundary expansion in which a bulk operator, when pushed to the boundary, is represented as an integral over boundary operators. The kernel of this integral is related to the Källén-Lehmann spectral density, and we examine the convergence of the expansion by deriving the spectral density's large dimension limit. Additionally, we derive an inversion formula for the bulk-to-boundary expansion, where, given a bulk theory, the boundary operator content is constructed as an integral of the bulk operator times the bulk-to-boundary propagator. We verify the inversion formula by recovering the boundary two-point function and reproducing perturbation theory. Along the way, we define an operator that generates both the bulk-to-boundary and free bulk-to-bulk propagators from the boundary two-point function, proving to be a powerful tool for simplifying de Sitter diagrams. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00183 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A non-perturbative construction of the de Sitter late-time boundary Vaziri, Kamran Salehi High Energy Physics - Theory We propose a new approach for constructing the late-time conformal boundary of quantum field theory in de Sitter spacetime. A boundary theory which consists of a continuous family of primary operators residing on unitary irreducible representations, the principal series. These boundary operators exhibit two-point functions that include contact terms alongside standard CFT two-point functions. We introduce a bulk-to-boundary expansion in which a bulk operator, when pushed to the boundary, is represented as an integral over boundary operators. The kernel of this integral is related to the Källén-Lehmann spectral density, and we examine the convergence of the expansion by deriving the spectral density's large dimension limit. Additionally, we derive an inversion formula for the bulk-to-boundary expansion, where, given a bulk theory, the boundary operator content is constructed as an integral of the bulk operator times the bulk-to-boundary propagator. We verify the inversion formula by recovering the boundary two-point function and reproducing perturbation theory. Along the way, we define an operator that generates both the bulk-to-boundary and free bulk-to-bulk propagators from the boundary two-point function, proving to be a powerful tool for simplifying de Sitter diagrams. |
| title | A non-perturbative construction of the de Sitter late-time boundary |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.00183 |