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Résumé |
Relativistic hydrodynamics provides a universal effective description of long-
lived modes in many-body systems, yet its relation to microscopic quantum dynamics
remains subtle. In this talk, I will discuss recent developments in our
understanding of hydrodynamic effective field theory, including the mathematical
structure of the gradient expansion, constraints from bounds, and insights from
effective Schwinger–Keldysh descriptions of dissipative dynamics. I will then turn
to the interplay between microscopic many-body chaos and emergent macroscopic
transport. After presenting examples of anomalous transport in reversible cellular
automata, I will discuss holographic quantum field theories, where the relation
between chaos and hydrodynamics can be sharply characterised through pole-
skipping. Finally, using explicit microscopic models arising from holographic
duality, I will explain how hydrodynamic modes and quantum chaos enable precise
analytic reconstructions of high-energy spectra in thermal quantum field theories,
and consequently of the spectra of asymptotically anti-de Sitter black holes. |
