Quantum group symmetry enables superdiffusive hydrodynamic tails for transverse spin operators in chaotic XXZ-like models despite lacking local quantum group charges.
Boulder Lectures on Thermal Dynamics and Hydrodynamic EFTs
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abstract
Fluctuating hydrodynamics emerges in essentially any local many-body system at nonzero temperature. Effective field theory (EFT) approaches enable the quantitative study of this emergence, providing a controlled framework to capture late-time observables. These lectures introduce the organizing principles behind equilibrium and out-of-equilibrium dynamics in these thermalizing systems. A central focus is the modern construction of these EFTs, which frames fluctuating hydrodynamics through the lens of "strong-to-weak" spontaneous symmetry breaking. Drawing examples from both high-energy and condensed matter physics, we show how this paradigm adapts to systems ranging from spin chains to relativistic quantum field theories, including models with generalized symmetries or symmetries with 't Hooft anomalies. Finally, we discuss UV/IR constraints on transport parameters -- viewed as the Wilson coefficients of hydrodynamic EFTs -- both in continuum and on the lattice.
years
2026 2verdicts
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A new prescription computes the dissipative action for holographic hydrodynamics in AdS4 to first order in derivatives and reproduces known Green's functions via horizon diffeomorphisms.
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Dissipative hydrodynamic actions and horizon symmetries in gravity
A new prescription computes the dissipative action for holographic hydrodynamics in AdS4 to first order in derivatives and reproduces known Green's functions via horizon diffeomorphisms.