Emergent metric from wavelet-transformed quantum field theory
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arXiv
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| Auteurs principaux: | , , , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915664340451328 |
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| author | Vedl, Šimon George, Daniel J. Simovic, Fil Lewis, Dominic G. Funai, Nicholas Kempf, Achim Menicucci, Nicolas C. Brennen, Gavin K. |
| author_facet | Vedl, Šimon George, Daniel J. Simovic, Fil Lewis, Dominic G. Funai, Nicholas Kempf, Achim Menicucci, Nicolas C. Brennen, Gavin K. |
| contents | We introduce a method of reverse holography by which a bulk metric is shown to arise from locally computable multiscale correlations of a boundary quantum field theory (QFT). The metric is obtained from the Petz-Rényi mutual information defined with input correlations computed from the continuous wavelet transform. The method is applicable to a variety of boundary QFTs that need not be conformal field theories (CFTs). For thermal free scalar and Dirac field theories the resulting bulk metric is that of (asymmetrically) warped anti-de Sitter (AdS) space. For massless, ground state CFTs the geometry simply reduces to AdS space. We show that certain parameters of the geometry can be tuned by changing the shape of the wavelet function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06698 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Emergent metric from wavelet-transformed quantum field theory Vedl, Šimon George, Daniel J. Simovic, Fil Lewis, Dominic G. Funai, Nicholas Kempf, Achim Menicucci, Nicolas C. Brennen, Gavin K. High Energy Physics - Theory Quantum Physics We introduce a method of reverse holography by which a bulk metric is shown to arise from locally computable multiscale correlations of a boundary quantum field theory (QFT). The metric is obtained from the Petz-Rényi mutual information defined with input correlations computed from the continuous wavelet transform. The method is applicable to a variety of boundary QFTs that need not be conformal field theories (CFTs). For thermal free scalar and Dirac field theories the resulting bulk metric is that of (asymmetrically) warped anti-de Sitter (AdS) space. For massless, ground state CFTs the geometry simply reduces to AdS space. We show that certain parameters of the geometry can be tuned by changing the shape of the wavelet function. |
| title | Emergent metric from wavelet-transformed quantum field theory |
| topic | High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2504.06698 |