N-particle irreducible actions for stochastic fluids
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Publication:6176341
DOI10.1007/JHEP06(2023)057arXiv2302.00720OpenAlexW4380449777MaRDI QIDQ6176341
Author name not available (Why is that?)
Publication date: 25 July 2023
Published in: (Search for Journal in Brave)
Abstract: We construct one- and two-particle irreducible (1PI and 2PI) effective actions for the stochastic fluid dynamics of a conserved density undergoing diffusive motion. We compute the 1PI action at one-loop order, and the 2PI action in two-loop approximation. We derive a set of Schwinger-Dyson equations, and regularize the resulting equations using Pauli-Villars fields. We numerically solve the Schwinger-Dyson equations for a non-critical fluid. We find that higher-loop effects summed by the Schwinger-Dyson renormalize the non-linear coupling. We also find indications of a diffuson-cascade, the appearance -loop corrections with smaller and smaller exponential suppression.
Full work available at URL: https://arxiv.org/abs/2302.00720
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