Spectral functions and dynamic critical behavior of relativistic \(Z_2\) theories
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Publication:822984
DOI10.1016/J.NUCLPHYSB.2020.115165zbMATH Open1482.82002arXiv2007.03374OpenAlexW3154696697MaRDI QIDQ822984
Author name not available (Why is that?)
Publication date: 24 September 2021
Published in: (Search for Journal in Brave)
Abstract: We investigate the dynamic critical behaviour of a relativistic scalar field theory with symmetry by calculating spectral functions of the order parameter at zero and non-vanishing momenta from first-principles classical-statistical lattice simulations in real-time. We find that at temperatures above the critical point , the spectral functions are well described by relativistic quasi-particle peaks. Close to the transition temperature , we observe strong infrared contributions building up. In the ordered phase at low temperatures , in addition to the quasi-particle peak, we observe a soft mode with a dispersion relation indicative of collective excitations. Investigating the spectral functions close to , we demonstrate that the behavior in the vicinity of the critical point is controlled by dynamic scaling functions and the dynamic critical exponent , which we determine from our simulations. By considering the equations of motion for a closed system and a system coupled to a heat bath, we extract the dynamic critical behavior for two different dynamic universality classes (Models A & C) in two and three spatial dimensions.
Full work available at URL: https://arxiv.org/abs/2007.03374
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