Flat Holography & Holographic Renormalization: Scalar Field
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915735195877376 |
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| author | Ammon, Martin Capone, Federico Sieling, Christoph |
| author_facet | Ammon, Martin Capone, Federico Sieling, Christoph |
| contents | We adapt the Hamilton-Jacobi method of holographic renormalization to scalar field theories in Minkowski spacetime with scattering boundary conditions. The approach yields a flat-space holographic dictionary in which the expectation value of a dual operator is given by the renormalized canonical momentum. The source of the operator is imposed as a Dirichlet condition in a radial timelike foliation of the bulk theory and corresponds to the scattering data appearing in the Arefeva-Faddeev-Slavnov generating functional. We initiate a study of massive scalars and interacting fields within this formalism and we comment on extensions to different bulk theories and backgrounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_14818 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Flat Holography & Holographic Renormalization: Scalar Field Ammon, Martin Capone, Federico Sieling, Christoph High Energy Physics - Theory We adapt the Hamilton-Jacobi method of holographic renormalization to scalar field theories in Minkowski spacetime with scattering boundary conditions. The approach yields a flat-space holographic dictionary in which the expectation value of a dual operator is given by the renormalized canonical momentum. The source of the operator is imposed as a Dirichlet condition in a radial timelike foliation of the bulk theory and corresponds to the scattering data appearing in the Arefeva-Faddeev-Slavnov generating functional. We initiate a study of massive scalars and interacting fields within this formalism and we comment on extensions to different bulk theories and backgrounds. |
| title | Flat Holography & Holographic Renormalization: Scalar Field |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.14818 |