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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | https://arxiv.org/abs/2504.12483 |
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| _version_ | 1866908576395558912 |
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| author | Gritskov, Maxim Losev, Andrey |
| author_facet | Gritskov, Maxim Losev, Andrey |
| contents | In this paper, we construct the beta function in the functorial formulation of two-dimensional quantum field theories (FQFT). A key feature of this approach is the absence of ultraviolet divergences. We show that, nevertheless, in the FQFT perturbation theory, the local observables of deformed theories acquire logarithmic dimension, leading to a conformal anomaly. The beta function arises in the functorial approach as an infinitesimal transformation of the partition function under the variation of the metric's conformal factor, without ultraviolet divergences, UV cutoff, or the traditional renormalization procedure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12483 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Beta function without UV divergences Gritskov, Maxim Losev, Andrey Mathematical Physics High Energy Physics - Theory In this paper, we construct the beta function in the functorial formulation of two-dimensional quantum field theories (FQFT). A key feature of this approach is the absence of ultraviolet divergences. We show that, nevertheless, in the FQFT perturbation theory, the local observables of deformed theories acquire logarithmic dimension, leading to a conformal anomaly. The beta function arises in the functorial approach as an infinitesimal transformation of the partition function under the variation of the metric's conformal factor, without ultraviolet divergences, UV cutoff, or the traditional renormalization procedure. |
| title | Beta function without UV divergences |
| topic | Mathematical Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.12483 |