Dynamic critical behavior of the chiral phase transition from the real-time functional renormalization group
Abstract The collective dynamics around the second-order O(4) chiral phase transition in QCD with two massless quark flavors can be understood by appealing to universality. We present a novel formulation of the real-time functional renormalization group (FRG) that describes the stochastic hydrodynam...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)118 |
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| author | Johannes V. Roth Yunxin Ye Sören Schlichting Lorenz von Smekal |
| author_facet | Johannes V. Roth Yunxin Ye Sören Schlichting Lorenz von Smekal |
| author_sort | Johannes V. Roth |
| collection | DOAJ |
| description | Abstract The collective dynamics around the second-order O(4) chiral phase transition in QCD with two massless quark flavors can be understood by appealing to universality. We present a novel formulation of the real-time functional renormalization group (FRG) 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, which establishes the real-time FRG as a valuable tool complementary to classical-statistical simulations. As a first application we show that our approach is consistent with dynamic scaling relations and reproduces the non-trivial value z = d/2 for the dynamic critical exponent in d spatial dimensions. Moreover, we extract a novel dynamic scaling function that describes the universal momentum and temperature dependence of the diffusion coefficient of iso-(axial-)vector charge densities in the symmetric phase. |
| format | Article |
| id | doaj-art-774a97afd3474b0fb45bb152b9c116e0 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-774a97afd3474b0fb45bb152b9c116e02025-02-09T12:07:56ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025117910.1007/JHEP01(2025)118Dynamic critical behavior of the chiral phase transition from the real-time functional renormalization groupJohannes V. Roth0Yunxin Ye1Sören Schlichting2Lorenz von Smekal3Institut für Theoretische Physik, Justus-Liebig-UniversitätFakultät für Physik, Universität BielefeldFakultät für Physik, Universität BielefeldInstitut für Theoretische Physik, Justus-Liebig-UniversitätAbstract The collective dynamics around the second-order O(4) chiral phase transition in QCD with two massless quark flavors can be understood by appealing to universality. We present a novel formulation of the real-time functional renormalization group (FRG) 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, which establishes the real-time FRG as a valuable tool complementary to classical-statistical simulations. As a first application we show that our approach is consistent with dynamic scaling relations and reproduces the non-trivial value z = d/2 for the dynamic critical exponent in d spatial dimensions. Moreover, we extract a novel dynamic scaling function that describes the universal momentum and temperature dependence of the diffusion coefficient of iso-(axial-)vector charge densities in the symmetric phase.https://doi.org/10.1007/JHEP01(2025)118Finite Temperature or Finite DensityPhase Diagram or Equation of StateRenormalization GroupStochastic Processes |
| spellingShingle | Johannes V. Roth Yunxin Ye Sören Schlichting Lorenz von Smekal Dynamic critical behavior of the chiral phase transition from the real-time functional renormalization group Journal of High Energy Physics Finite Temperature or Finite Density Phase Diagram or Equation of State Renormalization Group Stochastic Processes |
| title | Dynamic critical behavior of the chiral phase transition from the real-time functional renormalization group |
| title_full | Dynamic critical behavior of the chiral phase transition from the real-time functional renormalization group |
| title_fullStr | Dynamic critical behavior of the chiral phase transition from the real-time functional renormalization group |
| title_full_unstemmed | Dynamic critical behavior of the chiral phase transition from the real-time functional renormalization group |
| title_short | Dynamic critical behavior of the chiral phase transition from the real-time functional renormalization group |
| title_sort | dynamic critical behavior of the chiral phase transition from the real time functional renormalization group |
| topic | Finite Temperature or Finite Density Phase Diagram or Equation of State Renormalization Group Stochastic Processes |
| url | https://doi.org/10.1007/JHEP01(2025)118 |
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