Version 1
: Received: 8 February 2024 / Approved: 9 February 2024 / Online: 10 February 2024 (17:50:22 CET)
Version 2
: Received: 20 February 2024 / Approved: 20 February 2024 / Online: 21 February 2024 (09:20:45 CET)
Stephenson, M. J. (2024). QUENCH: Quantum unraveling in enhanced nonlinear CTP hydrodynamics. Chinese Journal of Physics. https://doi.org/10.1016/j.cjph.2024.02.048
Stephenson, M. J. (2024). QUENCH: Quantum unraveling in enhanced nonlinear CTP hydrodynamics. Chinese Journal of Physics. https://doi.org/10.1016/j.cjph.2024.02.048
Stephenson, M. J. (2024). QUENCH: Quantum unraveling in enhanced nonlinear CTP hydrodynamics. Chinese Journal of Physics. https://doi.org/10.1016/j.cjph.2024.02.048
Stephenson, M. J. (2024). QUENCH: Quantum unraveling in enhanced nonlinear CTP hydrodynamics. Chinese Journal of Physics. https://doi.org/10.1016/j.cjph.2024.02.048
Abstract
We embark on a systematic expansion of dissipative hydrodynamics through the utilization of a Schwinger-Keldysh FT. In this pursuit, we unveil the Navier-Stokes equations as a natural byproduct, emerging elegantly as an energy-momentum balance equation within our novel framework. The fluid system under scrutiny manifests intriguing invariance, showcasing symmetry notably characterized by spatial translation. Our methodology, rooted at the Closed-Time-Path (CTP) formalism, delves into the intricate landscape of hydrodynamic correlation functions and dissipative phenomena. A distinctive feature lies in the preservation of $\text{SDiff}_\pi(\mathbb{R}^{1,3})$ symmetry for fluctuation fields, enabling a systematic and rigorous treatment of dissipative hydrodynamics up to second order in derivatives. This approach significantly advances our comprehension of fluid behavior at low energy scales, offering fresh insights and expanding the horizons of theoretical exploration.
Keywords
Dissipative Hydrodynamics, Schwinger-Keldysh Field Theory, Navier-Stokes Equations, Long-Range Massless Modes, Fluid Dynamics, Volume-Preserving Diffeomorphisms, Closed-Time-Path Formalism, Hydrodynamic Correlation Functions, Effective Field Theory, Non-Relativistic Fluid Dynamics, Systematic Treatment, Second Order in Derivatives, Energy-Momentum Balance Equation, Hydrodynamic Transport, Gravitational Anomaly, Quasinormal Modes, Holography, Entropy Production, Conformal Invariance
Subject
Physical Sciences, Mathematical Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
