Two-loop gradient-flow renormalization of scalar QCD
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866910891307433984 |
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| author | Borgulat, J. Felten, N. Harlander, R. V. Kohnen, J. T. |
| author_facet | Borgulat, J. Felten, N. Harlander, R. V. Kohnen, J. T. |
| contents | The gradient-flow formalism is applied to a non-Abelian gauge theory with scalar and fermionic particles, dubbed "scalar QCD". It is shown that the flowed scalar quark requires a field renormalization, albeit only beyond the one-loop level. A pseudo-physical, t-dependent renormalization scheme is defined, and the corresponding renormalization constant is evaluated at the two-loop level. We also calculate the gluon action density as well as the condensate of the scalar and the fermionic quark at three-loop level in this theory. The results validate the consistency of the gradient-flow formalism in this theory and provide a further step towards applying the gradient-flow formalism to the full Standard Model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07150 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-loop gradient-flow renormalization of scalar QCD Borgulat, J. Felten, N. Harlander, R. V. Kohnen, J. T. High Energy Physics - Phenomenology High Energy Physics - Lattice The gradient-flow formalism is applied to a non-Abelian gauge theory with scalar and fermionic particles, dubbed "scalar QCD". It is shown that the flowed scalar quark requires a field renormalization, albeit only beyond the one-loop level. A pseudo-physical, t-dependent renormalization scheme is defined, and the corresponding renormalization constant is evaluated at the two-loop level. We also calculate the gluon action density as well as the condensate of the scalar and the fermionic quark at three-loop level in this theory. The results validate the consistency of the gradient-flow formalism in this theory and provide a further step towards applying the gradient-flow formalism to the full Standard Model. |
| title | Two-loop gradient-flow renormalization of scalar QCD |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2501.07150 |