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Main Authors: Tan, Yang-yang, Chen, Yong-rui, Fu, Wei-jie, Li, Wei-Jia
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2403.03503
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author Tan, Yang-yang
Chen, Yong-rui
Fu, Wei-jie
Li, Wei-Jia
author_facet Tan, Yang-yang
Chen, Yong-rui
Fu, Wei-jie
Li, Wei-Jia
contents Real-time dynamics of strongly correlated systems, in particular its critical dynamics near phase transitions, have been always on the cutting edge of studies in diverse fields of physics, e.g., high energy physics, condensed matter, holography, etc. In this work, we investigate the critical damping of collective modes associated with spontaneous breaking of approximate symmetries, which are called pseudo-Goldstone modes, in strongly correlated systems. Using the Schwinger-Keldysh field theory, we find a universal pseudo-Goldstone damping via the critical O($N$) model that has never been found before by other approaches. Different from the conventional damping found in holography and hydrodynamics, the new one is controlled by critical fluctuations, hence is invisible in mean-field systems or strongly correlated systems with classical gravity duals. Since the critical damping depends solely on the universalities of the critical point, irrespective of the microscopic details, our conclusion should be applicable to a wide class of interacting systems.
format Preprint
id arxiv_https___arxiv_org_abs_2403_03503
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Universality of pseudo-Goldstone damping near critical points
Tan, Yang-yang
Chen, Yong-rui
Fu, Wei-jie
Li, Wei-Jia
High Energy Physics - Theory
Statistical Mechanics
High Energy Physics - Phenomenology
Real-time dynamics of strongly correlated systems, in particular its critical dynamics near phase transitions, have been always on the cutting edge of studies in diverse fields of physics, e.g., high energy physics, condensed matter, holography, etc. In this work, we investigate the critical damping of collective modes associated with spontaneous breaking of approximate symmetries, which are called pseudo-Goldstone modes, in strongly correlated systems. Using the Schwinger-Keldysh field theory, we find a universal pseudo-Goldstone damping via the critical O($N$) model that has never been found before by other approaches. Different from the conventional damping found in holography and hydrodynamics, the new one is controlled by critical fluctuations, hence is invisible in mean-field systems or strongly correlated systems with classical gravity duals. Since the critical damping depends solely on the universalities of the critical point, irrespective of the microscopic details, our conclusion should be applicable to a wide class of interacting systems.
title Universality of pseudo-Goldstone damping near critical points
topic High Energy Physics - Theory
Statistical Mechanics
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2403.03503