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Résumé |
Hydrodynamics is one of the oldest example of field theories, describing the long-
range behaviour of many-body systems and its study remained mostly classical.
Nevertheless, near zero temperature, quantum fluctuations grow in importance
raising the natural question: is there a consistent quantum picture of a perfect
fluid at zero temperature?
In this talk, I will review the subtly inequivalent Lagrangians realizations of
the perfect fluid through the lens of modern effective field theory (EFT). I will
then discuss its particularity, naming the presence of an infinitely dimensional
symmetry. As we will see, its main implication is the existence of transverse
modes with vanishing dispersion relation at the classical level, and an infinitely
degenerate spectrum and UV-IR mixing at the quantum level.
This is based on a work with G. Cuomo, E. Firat, B. Henning and R. Rattazzi
https://arxiv.org/abs/2412.10344. |
