Yang--Mills $β$ function in the gradient flow exact renormalization group
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909918776262656 |
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| author | Nagao, Sorato Suzuki, Hiroshi |
| author_facet | Nagao, Sorato Suzuki, Hiroshi |
| contents | The gradient flow exact renormalization (GFERG) is a variant of the exact renormalization group of gauge theory that aims to preserve gauge symmetry as manifestly as possible. From an integral representation of the Wilson action in GFERG for the Yang--Mills theory, we explicitly compute the one-loop renormalization group functions that reproduce correct coefficients. From the correspondence with the gradient flow formalism by Lüscher and Weisz, we also argue that GFERG reproduces the conventional renormalization group functions in all orders of perturbation theory. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_16828 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Yang--Mills $β$ function in the gradient flow exact renormalization group Nagao, Sorato Suzuki, Hiroshi High Energy Physics - Theory High Energy Physics - Lattice The gradient flow exact renormalization (GFERG) is a variant of the exact renormalization group of gauge theory that aims to preserve gauge symmetry as manifestly as possible. From an integral representation of the Wilson action in GFERG for the Yang--Mills theory, we explicitly compute the one-loop renormalization group functions that reproduce correct coefficients. From the correspondence with the gradient flow formalism by Lüscher and Weisz, we also argue that GFERG reproduces the conventional renormalization group functions in all orders of perturbation theory. |
| title | Yang--Mills $β$ function in the gradient flow exact renormalization group |
| topic | High Energy Physics - Theory High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2508.16828 |