Derives the all-order fluctuating hydrodynamics effective action and transport coefficients for the SYK lattice from its microscopic pseudo-Goldstone boson action.
Effective field theory for dissipative fluids (II): classical limit, dynamical KMS symmetry and entropy current
7 Pith papers cite this work. Polarity classification is still indexing.
7
Pith papers citing it
abstract
In this paper we further develop the fluctuating hydrodynamics proposed in arXiv:1511.03646 in a number of ways. We first work out in detail the classical limit of the hydrodynamical action, which exhibits many simplifications. In particular, this enables a transparent formulation of the action in physical spacetime in the presence of arbitrary external fields. It also helps to clarify issues related to field redefinitions and frame choices. We then propose that the action is invariant under a $Z_2$ symmetry to which we refer as the dynamical KMS symmetry. The dynamical KMS symmetry is physically equivalent to the previously proposed local KMS condition in the classical limit, but is more convenient to implement and more general. It is applicable to any states in local equilibrium rather than just thermal density matrix perturbed by external background fields. Finally we elaborate the formulation for a conformal fluid, which contains some new features, and work out the explicit form of the entropy current to second order in derivatives for a neutral conformal fluid.
citation-role summary
background 1
method 1
citation-polarity summary
fields
hep-th 7representative citing papers
A new algorithm counts degrees of freedom in open EFTs from equations of motion using dual advanced equations for non-Lagrangian systems with constraints and gauges.
Develops a local open EFT for non-Abelian gauge theories using dynamical color-frame variables and color-current sectors in Schwinger-Keldysh formalism, yielding nonlocal dissipative kernels and naturally incorporating hard thermal loop responses after integration.
Proves equivalence of redundant Goldstone and adjoint-matter formulations of SK EFTs for non-Abelian symmetries and extends both to all orders in ħω/T while classifying invariant kernels under DKMS and unitarity.
An effective field theory for superconducting phase transitions is constructed via Schwinger-Keldysh formalism, reproducing Ginzburg-Landau equations upon truncation while showing overdamped Higgs modes and complex relaxation in holographic validation.
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.
Lectures summarizing the construction of hydrodynamic EFTs through strong-to-weak symmetry breaking, with examples from spin chains to relativistic QFTs and UV/IR constraints on transport coefficients.
citing papers explorer
-
All-order fluctuating hydrodynamics of the SYK lattice
Derives the all-order fluctuating hydrodynamics effective action and transport coefficients for the SYK lattice from its microscopic pseudo-Goldstone boson action.
-
Counting Degrees of Freedom in Open Effective Theories
A new algorithm counts degrees of freedom in open EFTs from equations of motion using dual advanced equations for non-Lagrangian systems with constraints and gauges.
-
Bottom-up open EFT for non-Abelian gauge theory with dynamical color environment
Develops a local open EFT for non-Abelian gauge theories using dynamical color-frame variables and color-current sectors in Schwinger-Keldysh formalism, yielding nonlocal dissipative kernels and naturally incorporating hard thermal loop responses after integration.
-
Schwinger-Keldysh effective theory of charge transport: redundancies and systematic $\omega/T$ expansion
Proves equivalence of redundant Goldstone and adjoint-matter formulations of SK EFTs for non-Abelian symmetries and extends both to all orders in ħω/T while classifying invariant kernels under DKMS and unitarity.
-
Effective Field Theory for Superconducting Phase Transitions
An effective field theory for superconducting phase transitions is constructed via Schwinger-Keldysh formalism, reproducing Ginzburg-Landau equations upon truncation while showing overdamped Higgs modes and complex relaxation in holographic validation.
-
Effective Field Theories for Material Media
Spacetime-symmetry-breaking Goldstone EFTs systematically describe bulk and localized excitations of solids, fluids, and superfluids, with new thermodynamic identifications and corrected scattering rates.
-
Boulder Lectures on Thermal Dynamics and Hydrodynamic EFTs
Lectures summarizing the construction of hydrodynamic EFTs through strong-to-weak symmetry breaking, with examples from spin chains to relativistic QFTs and UV/IR constraints on transport coefficients.