Critical dynamics in a real-time formulation of the functional renormalization group
Abstract We present first calculations of critical spectral functions of the relaxational Models A, B, and C in the Halperin-Hohenberg classification using a real-time formulation of the functional renormalization group (FRG). We revisit the prediction by Son and Stephanov that the linear coupling o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2023)065 |
| _version_ | 1797341366106193920 |
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| author | Johannes V. Roth Lorenz von Smekal |
| author_facet | Johannes V. Roth Lorenz von Smekal |
| author_sort | Johannes V. Roth |
| collection | DOAJ |
| description | Abstract We present first calculations of critical spectral functions of the relaxational Models A, B, and C in the Halperin-Hohenberg classification using a real-time formulation of the functional renormalization group (FRG). We revisit the prediction by Son and Stephanov that the linear coupling of a conserved density to the non-conserved order parameter of Model A gives rise to critical Model-B dynamics. We formulate both 1-loop and 2-loop self-consistent expansion schemes in the 1PI vertex functions as truncations of the effective average action suitable for real-time applications, and analyze in detail how the different critical dynamics are properly incorporated in the framework of the FRG on the closed-time path. We present results for the corresponding critical spectral functions, extract the dynamic critical exponents for Models A, B, and C, in two and three spatial dimensions, respectively, and compare the resulting values with recent results from the literature. |
| first_indexed | 2024-03-08T10:17:59Z |
| format | Article |
| id | doaj.art-ae1e7ee1de05447090c94fb8ac555425 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T10:17:59Z |
| publishDate | 2023-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ae1e7ee1de05447090c94fb8ac5554252024-01-28T12:22:26ZengSpringerOpenJournal of High Energy Physics1029-84792023-10-0120231015310.1007/JHEP10(2023)065Critical dynamics in a real-time formulation of the functional renormalization groupJohannes V. Roth0Lorenz von Smekal1Institut für Theoretische Physik, Justus-Liebig-UniversitätInstitut für Theoretische Physik, Justus-Liebig-UniversitätAbstract We present first calculations of critical spectral functions of the relaxational Models A, B, and C in the Halperin-Hohenberg classification using a real-time formulation of the functional renormalization group (FRG). We revisit the prediction by Son and Stephanov that the linear coupling of a conserved density to the non-conserved order parameter of Model A gives rise to critical Model-B dynamics. We formulate both 1-loop and 2-loop self-consistent expansion schemes in the 1PI vertex functions as truncations of the effective average action suitable for real-time applications, and analyze in detail how the different critical dynamics are properly incorporated in the framework of the FRG on the closed-time path. We present results for the corresponding critical spectral functions, extract the dynamic critical exponents for Models A, B, and C, in two and three spatial dimensions, respectively, and compare the resulting values with recent results from the literature.https://doi.org/10.1007/JHEP10(2023)065Finite Temperature or Finite DensityPhase Diagram or Equation of StateRenormalization GroupStochastic Processes |
| spellingShingle | Johannes V. Roth Lorenz von Smekal Critical dynamics in a real-time formulation of the functional renormalization group Journal of High Energy Physics Finite Temperature or Finite Density Phase Diagram or Equation of State Renormalization Group Stochastic Processes |
| title | Critical dynamics in a real-time formulation of the functional renormalization group |
| title_full | Critical dynamics in a real-time formulation of the functional renormalization group |
| title_fullStr | Critical dynamics in a real-time formulation of the functional renormalization group |
| title_full_unstemmed | Critical dynamics in a real-time formulation of the functional renormalization group |
| title_short | Critical dynamics in a real-time formulation of the functional renormalization group |
| title_sort | critical dynamics in a real time formulation of the 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/JHEP10(2023)065 |
| work_keys_str_mv | AT johannesvroth criticaldynamicsinarealtimeformulationofthefunctionalrenormalizationgroup AT lorenzvonsmekal criticaldynamicsinarealtimeformulationofthefunctionalrenormalizationgroup |