Dynamic critical behavior of the chiral phase transition from the real-time functional renormalization group
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914707413139456 |
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| author | Roth, Johannes V. Ye, Yunxin Schlichting, Sören von Smekal, Lorenz |
| author_facet | Roth, Johannes V. Ye, Yunxin Schlichting, Sören von Smekal, Lorenz |
| contents | In the chiral limit the complicated many-body dynamics around the second-order chiral phase transition of two-flavor QCD can be understood by appealing to universality. We present a novel formulation of the real-time functional renormalization group that describes the stochastic hydrodynamic equations of motion for systems in the same dynamic universality class, which corresponds to Model G in the Halperin-Hohenberg classification. Our approach preserves all relevant symmetries of such systems with reversible mode couplings. We show that the calculations indeed produce the non-trivial value $z=d/2$ for the dynamic critical exponent, where $d$ is the number of spatial dimensions. From the momentum and temperature dependence of the diffusion coefficient of the conserved charge densities, we extract the dimensionless universal scaling function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04573 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamic critical behavior of the chiral phase transition from the real-time functional renormalization group Roth, Johannes V. Ye, Yunxin Schlichting, Sören von Smekal, Lorenz High Energy Physics - Phenomenology In the chiral limit the complicated many-body dynamics around the second-order chiral phase transition of two-flavor QCD can be understood by appealing to universality. We present a novel formulation of the real-time functional renormalization group that describes the stochastic hydrodynamic equations of motion for systems in the same dynamic universality class, which corresponds to Model G in the Halperin-Hohenberg classification. Our approach preserves all relevant symmetries of such systems with reversible mode couplings. We show that the calculations indeed produce the non-trivial value $z=d/2$ for the dynamic critical exponent, where $d$ is the number of spatial dimensions. From the momentum and temperature dependence of the diffusion coefficient of the conserved charge densities, we extract the dimensionless universal scaling function. |
| title | Dynamic critical behavior of the chiral phase transition from the real-time functional renormalization group |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2403.04573 |