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arXiv · 1212.0670

From a complex scalar field to the two-fluid picture of superfluidity

Mark G. Alford·S. Kumar Mallavarapu·Andreas Schmitt·Stephan Stetina
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Abstract

The hydrodynamic description of a superfluid is usually based on a two-fluid picture. We compute the basic properties of the relativistic two-fluid system from the underlying microscopic physics of a relativistic φ^4 complex scalar field theory. We work at nonzero but small temperature and weak coupling, and we neglect dissipation. We clarify the relationship between different formulations of the two-fluid model, and how they are parameterized in terms of partly redundant current and momentum 4-vectors. As an application, we compute the velocities of first and second sound at small temperatures and in the presence of a superflow. While our results are of a very general nature, we also comment on their interpretation as a step towards the hydrodynamics of the color-flavor locked state of quark matter, which, in particular in the presence of kaon condensation, appears to be a complicated multi-component fluid.

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Mark G. Alford, S. Kumar Mallavarapu, Andreas Schmitt, Stephan Stetina. 2013-07-25. From a complex scalar field to the two-fluid picture of superfluidity. https://doi.org/10.1103/physrevd.87.065001

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