Journal
SCIPOST PHYSICS
Volume 11, Issue 3, Pages -Publisher
SCIPOST FOUNDATION
DOI: 10.21468/SciPostPhys.11.3.054
Keywords
-
Categories
Funding
- Netherlands Organization for Scientific Research (NWO)
- Dutch Institute for Emergent Phenomena (DIEP) cluster at the University of Amsterdam
- NSERC Discovery Grant program of Canada
Ask authors/readers for more resources
The research presents the formulation of the Schwinger-Keldysh effective field theory of hydrodynamics without boost symmetry and explores various transport coefficients and fluctuation modes. The new hydrodynamic framework provides a unified stable approach for studying different types of fluids.
We formulate the Schwinger-Keldysh effective field theory of hydrodynamics without boost symmetry. This includes a spacetime covariant formulation of classical hydrodynamics without boosts with an additional conserved particle/charge current coupled to Aristotelian background sources. We find that, up to first order in derivatives, the theory is characterised by the thermodynamic equation of state and a total of 29 independent transport coefficients, in particular, 3 hydrostatic, 9 non-hydrostatic non-dissipative, and 17 dissipative. Furthermore, we study the spectrum of linearised fluctuations around anisotropic equilibrium states with non-vanishing fluid velocity. This analysis reveals a pair of sound modes that propagate at different speeds along and opposite to the fluid flow, one charge diffusion mode, and two distinct shear modes along and perpendicular to the fluid velocity. We present these results in a new hydrodynamic frame that is linearly stable irrespective of the boost symmetry in place. This provides a unified covariant stable approach for simultaneously treating Lorentzian, Galilean, and Lifshitz fluids within an effective field theory framework and sets the stage for future studies of non-relativistic intertwined patterns of symmetry breaking.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available