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Abstract |
Hydrodynamics is the generic low energy theory that describes fluids and generalizes
thermodynamics. There are however quantum field theories, whose hydrodynamics is not known. A large
class are non-relativistic theories with Lifshitz scaling (appearing in condensed matter systems). The
gauge/gravity correspondence has provided a novel and precise correspondence between fluid dynamics and
the gravitational physics of horizons. We use this to find the hydrodynamic equations that describe non-
relativistic quantum field theories with Lifshitz scaling and hyperscaling violation. We also find the (torsional)
Newton-Cartan gravity plays an important role. |
