An analogue of non-interacting quantum field theory in Riemannian signature
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866908848993861632 |
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| author | Molodyk, Mikhail Vasy, András |
| author_facet | Molodyk, Mikhail Vasy, András |
| contents | In this paper, we define a model of non-interacting quantum fields satisfying $(Δ_g-λ^2)ϕ=0$ on a Riemannian scattering space $(M,g)$ with two boundary components, i.e. a manifold with two asymptotically conic ends (meaning asymptotic to the "large end" of a cone). Our main result describes a canonical construction of two-point functions satisfying a version of the Hadamard condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11821 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An analogue of non-interacting quantum field theory in Riemannian signature Molodyk, Mikhail Vasy, András High Energy Physics - Theory General Relativity and Quantum Cosmology Analysis of PDEs 81T20, 35P25 In this paper, we define a model of non-interacting quantum fields satisfying $(Δ_g-λ^2)ϕ=0$ on a Riemannian scattering space $(M,g)$ with two boundary components, i.e. a manifold with two asymptotically conic ends (meaning asymptotic to the "large end" of a cone). Our main result describes a canonical construction of two-point functions satisfying a version of the Hadamard condition. |
| title | An analogue of non-interacting quantum field theory in Riemannian signature |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Analysis of PDEs 81T20, 35P25 |
| url | https://arxiv.org/abs/2404.11821 |