Analytic structure of diffusive correlation functions

Grozdanov, Sašo (author), Lemut, Timotej (author), Pelaič, Jaka (author), Soloviev, Alexander (author)

Diffusion is a dissipative transport phenomenon ubiquitously present in nature. Its details can now be analyzed with modern effective field theory (EFT) techniques that use the closed-time-path (or Schwinger-Keldysh) formalism. We discuss the structure of the diffusive effective action appropriate for the analysis of stochastic or thermal loop effects, responsible for the so-called long-time tails, to all orders. We also elucidate and prove a number of properties of the EFT and use the theory to establish the analytic structure of the n-loop contributions to diffusive retarded two-point functions. Our analysis confirms a previously proposed result by Delacrétaz that used microscopic conformal field theory arguments. Then, we analyze a number of implications of these loop corrections to the dispersion relations of the diffusive mode and new, gapped modes that appear when the EFT is treated as exact. Finally, we discuss certain features of an all-loop model of diffusion that only retains a special subset of n-loop “banana” diagrams.

• Language: English
• Keywords: diffusion, hydrodynamics, effective field theory
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2024
• Number of pages: Str. 056053-1-056053-14
• Numbering: Vol. 110, iss. 5
• PID: 20.500.12556/RUL-163122
• UDC: 532.5
• ISSN on article: 2470-0010
• DOI: 10.1103/PhysRevD.110.056053
• COBISS.SI-ID: 209810435
• Publication date in RUL: 02.10.2024

Record is a part of a journal

• Title: Physical review. D
• Shortened title: Phys. rev., D
• Publisher: American Physical Society
• ISSN: 2470-0010
• COBISS.SI-ID: 29757223

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: difuzija, hidrodinamika, efektivna teorija polja