Universal critical dynamics near the chiral phase transition and the QCD critical point
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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_ | 1866914068313407488 |
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| author | Ye, Yunxin Roth, Johannes V. Schlichting, Sören von Smekal, Lorenz |
| author_facet | Ye, Yunxin Roth, Johannes V. Schlichting, Sören von Smekal, Lorenz |
| contents | We use a novel real-time formulation of the functional renormalization group (FRG) for dynamical systems with reversible mode couplings to study Model G and H, which are the conjectured dynamic universality classes of the two-flavor chiral phase transition and the QCD critical point, respectively. We compute the dynamic critical exponent in both models in spatial dimensions $2<d<4$. We discuss qualitative commonalities and differences in the non-perturbative RG flow, such as weak scaling relations which hold in either case versus the characteristic strong scaling of Model G which is absent in Model H. For Model G, we also extract a novel dynamic scaling function that describes the universal momentum and temperature dependence of the diffusion coefficient of iso-(axial-)vector charges in the symmetric phase. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_26355 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universal critical dynamics near the chiral phase transition and the QCD critical point Ye, Yunxin Roth, Johannes V. Schlichting, Sören von Smekal, Lorenz High Energy Physics - Phenomenology We use a novel real-time formulation of the functional renormalization group (FRG) for dynamical systems with reversible mode couplings to study Model G and H, which are the conjectured dynamic universality classes of the two-flavor chiral phase transition and the QCD critical point, respectively. We compute the dynamic critical exponent in both models in spatial dimensions $2<d<4$. We discuss qualitative commonalities and differences in the non-perturbative RG flow, such as weak scaling relations which hold in either case versus the characteristic strong scaling of Model G which is absent in Model H. For Model G, we also extract a novel dynamic scaling function that describes the universal momentum and temperature dependence of the diffusion coefficient of iso-(axial-)vector charges in the symmetric phase. |
| title | Universal critical dynamics near the chiral phase transition and the QCD critical point |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2509.26355 |