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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.00679 |
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| _version_ | 1866913535232049152 |
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| author | Chen, Yong-rui Tan, Yang-yang Fu, Wei-jie |
| author_facet | Chen, Yong-rui Tan, Yang-yang Fu, Wei-jie |
| contents | The critical dynamics of Model H with a conserved order parameter coupled to a transverse momentum density which describes the gas-liquid or binary-fluid transitions is investigated within the functional renormalization group approach formulated on the closed time path. According to the dynamic scaling analysis, Model H and QCD critical end point belong to the same dynamic universality class in the critical region. The higher-order correction of the transport coefficient $\barλ$ and shear viscosity $\barη$ arising from mode-couplings are obtained by calculating the two-point correlation functions. The flow equation of a dimensionless coupling constant for nondissipative interactions is derived to look for the fixed-point solution of the system. The scaling relation between the critical exponent of the transport coefficient and that of the shear viscosity is estimated. Finally, the dynamic critical exponent $z$ is obtained as a function of the spatial dimension $d$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00679 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Critical dynamics of Model H within the real-time fRG approach Chen, Yong-rui Tan, Yang-yang Fu, Wei-jie High Energy Physics - Phenomenology The critical dynamics of Model H with a conserved order parameter coupled to a transverse momentum density which describes the gas-liquid or binary-fluid transitions is investigated within the functional renormalization group approach formulated on the closed time path. According to the dynamic scaling analysis, Model H and QCD critical end point belong to the same dynamic universality class in the critical region. The higher-order correction of the transport coefficient $\barλ$ and shear viscosity $\barη$ arising from mode-couplings are obtained by calculating the two-point correlation functions. The flow equation of a dimensionless coupling constant for nondissipative interactions is derived to look for the fixed-point solution of the system. The scaling relation between the critical exponent of the transport coefficient and that of the shear viscosity is estimated. Finally, the dynamic critical exponent $z$ is obtained as a function of the spatial dimension $d$. |
| title | Critical dynamics of Model H within the real-time fRG approach |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2406.00679 |