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Two-loop gradient-flow renormalization of scalar QCD
by Janosh Borgulat, Nils Felten, Robert V. Harlander, Jonas T. Kohnen
Submission summary
| Authors (as registered SciPost users): | Robert Harlander |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2501.07150v1 (pdf) |
| Date accepted: | March 5, 2025 |
| Date submitted: | Jan. 15, 2025, 11 a.m. |
| Submitted by: | Robert Harlander |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
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.
Published as SciPost Phys. Core 8, 032 (2025)
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Requested changes
As the original reference for the ringed scheme, Ref. [7] would be appropriate than Ref. [5].
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