Critical dynamics of model H within the real-time FRG approach

IF 5 2区物理与天体物理 Q1 Physics and Astronomy

Physical Review D Pub Date : 2025-05-16 DOI:10.1103/physrevd.111.094025

Yong-rui Chen, Yang-yang Tan, Wei-jie Fu

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引用次数: 0

Abstract

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 quantum chromodynamics (QCD) critical end point belong to the same dynamic universality class in the critical region. The higher-order correction of the transport coefficient λ¯ and shear viscosity η¯ 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.

Published by the American Physical Society

2025

查看原文本刊更多论文

实时FRG方法中H模型的临界动力学

在封闭时间路径上建立的泛函重整化群方法中，研究了具有守恒阶参数和描述气液或二元流体过渡的横向动量密度耦合的H模型的临界动力学。根据动态标度分析，模型H与量子色动力学（QCD）临界端点在临界区域内属于同一动态普适类。通过计算两点相关函数，得到了由模式耦合引起的输运系数λ¯和剪切粘度η¯的高阶修正。导出了非耗散相互作用的无量纲耦合常数的流动方程，以寻找系统的不动点解。估计了输运系数的临界指数与剪切粘度的临界指数之间的标度关系。最后，得到了动态临界指数z作为空间维数d的函数。发表于美国物理学会2025

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来源期刊

Physical Review D 物理-天文与天体物理

CiteScore

9.20

自引率

36.00%

发文量

审稿时长

2 months

期刊介绍： Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics. PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including: Particle physics experiments, Electroweak interactions, Strong interactions, Lattice field theories, lattice QCD, Beyond the standard model physics, Phenomenological aspects of field theory, general methods, Gravity, cosmology, cosmic rays, Astrophysics and astroparticle physics, General relativity, Formal aspects of field theory, field theory in curved space, String theory, quantum gravity, gauge/gravity duality.