Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-05-18
Physics
High Energy Physics
High Energy Physics - Theory
84 pages
Scientific paper
We determine the most general form of the equations of relativistic superfluid hydrodynamics consistent with Lorentz invariance, the Onsager principle and the second law of thermodynamics at first order in the derivative expansion. Once parity is violated, either because the U(1) symmetry is anomalous or as a consequence of a different parity-breaking mechanism, our results deviate from the standard textbook analysis of superfluids. Our general equations require the specification of twenty parameters (such as the viscosity and conductivity). In the limit of small relative superfluid velocities we find a seven parameter set of equations. In the same limit, we have used the AdS/CFT correspondence to compute the parity odd contributions to the superfluid equations of motion for a generic holographic model and have verified that our results are consistent.
Bhattacharya Jyotirmoy
Bhattacharyya Sayantani
Minwalla Shiraz
Yarom Amos
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