The hidden gauge symmetry of relativistic dissipative hydrodynamics

by Giorgio Torrieri (Campinas State University)

Monday 31 Oct 2022, 16:30 → 18:00 Europe/Lisbon

Seminar Room (LIP)

Youtube URL :: https://www.youtube.com/watch?v=Gi1TJWC27_M

 

The observation, in hadronic collisions, of "ideal fluid" type behavior in systems of a comparatively small number of particles, presents a conceptual puzzle, since the way we usually derive hydrodynamics is via approximating "many" particles as a continuum. I will argue that making sense of this requires re-deriving relativistic hydrodynamics as a "bottom-up" theory, with no reference to microscopic physics except the local emergence of a thermalized system. We attempt to do this using basic statistical mechanics, and find the appearance of a gauge-like redundancy hidden within relativistic dissipative hydrodynamics, arising from the fluctuation-dissipation theorem. This might lead to the apparently counter-intuitive conclusion that in the small viscosity limit it might indeed be that smaller systems could thermalize faster.

Based on https://arxiv.org/abs/2109.06389 and https://arxiv.org/abs/2007.09224

Giorgio_lip.pdf