N-particle irreducible actions for stochastic fluids
arXiv:2302.00720 · doi:10.1007/JHEP06(2023)057
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.
arXiv comment15 pages, 7 figures; revised version to appear in JHEP
References in corpus (31)
- Signatures of the Tricritical Point in QCD
- Non-Gaussian fluctuations near the QCD critical point
- Mapping the Phases of Quantum Chromodynamics with Beam Energy Scan
- On the sign of kurtosis near the QCD critical point
- Introduction to Nonequilibrium Quantum Field Theory
- Keldysh technique and non-linear sigma-model: basic principles and applications
- Slowing Out of Equilibrium Near the QCD Critical Point
- Hadronic fluctuations at the QCD phase transition
- Fluctuations as probe of the QCD phase transition and freeze-out in heavy ion collisions at LHC and RHIC
- Third moments of conserved charges as probes of QCD phase structure
- Hydro+: hydrodynamics with parametric slowing down and fluctuations near the critical point
- Dynamic universality class of the QCD critical point
- Real time evolution of non-Gaussian cumulants in the QCD critical regime
- A kinetic regime of hydrodynamic fluctuations and long time tails for a Bjorken expansion
- Diffusive dynamics of critical fluctuations near the QCD critical point
- Theory of diffusive fluctuations
- Relativistic Hydrodynamic Fluctuations
- Non-perturbative Approach to Critical Dynamics
- Heavy Operators and Hydrodynamic Tails
- Fluctuation dynamics in a relativistic fluid with a critical point
- Transits of the QCD Critical Point
- Stochastic hydrodynamics and long time tails of an expanding conformal charged fluid
- Dynamic critical phenomena from spectral functions on the lattice
- Evolution of Non-Gaussian Hydrodynamic Fluctuations
- Critical behavior of the bulk viscosity in QCD
- Spectral functions and dynamic critical behavior of relativistic theories
- Dynamics of non-Gaussian fluctuations in model A
- Critical net-baryon fluctuations in an expanding system
- Critical dynamics of relativistic diffusion
- Multiplicative noise and the diffusion of conserved densities
- Off-equilibrium non-Gaussian fluctuations near the QCD critical point: an effective field theory perspective