Callan-Symanzik-like equation in information theory
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918528479657984 |
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| author | Shahbazi, Mojtaba Sadeghi, Mehdi |
| author_facet | Shahbazi, Mojtaba Sadeghi, Mehdi |
| contents | Within the "complexity=anything" proposal of holography, the complexity growth rate (CGR) can exhibit jumps, interpreted as phase transitions. We demonstrate that the location and amplitude of these jumps are governed by the dynamics of bulk fields, which, via the fluid-gravity correspondence, map to the boundary energy-momentum tensor. The behavior of the CGR near these critical points exhibits scaling and universality. We show that the CGR satisfies a Callan-Symanzik-like equation near the transitions. Our results provide a new information-theoretic interpretation of the Callan-Symanzik equation, with the CGR running with the energy scale. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_13330 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Callan-Symanzik-like equation in information theory Shahbazi, Mojtaba Sadeghi, Mehdi Quantum Physics High Energy Physics - Theory Within the "complexity=anything" proposal of holography, the complexity growth rate (CGR) can exhibit jumps, interpreted as phase transitions. We demonstrate that the location and amplitude of these jumps are governed by the dynamics of bulk fields, which, via the fluid-gravity correspondence, map to the boundary energy-momentum tensor. The behavior of the CGR near these critical points exhibits scaling and universality. We show that the CGR satisfies a Callan-Symanzik-like equation near the transitions. Our results provide a new information-theoretic interpretation of the Callan-Symanzik equation, with the CGR running with the energy scale. |
| title | Callan-Symanzik-like equation in information theory |
| topic | Quantum Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.13330 |