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Low-temperature thermal corrections to a superfluid's equation of state

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TLDR
In this article , the phonon thermal partition function for a generic super-uid model was derived, and the results were matched to those of the classic two-layer model by matching to the eective theory for that model.
Abstract
Using effective field theory methods, we calculate the low-temperature phonon thermal partition function for a generic superfluid, thus providing the leading thermal corrections to a superfluid’s equation of state, thermodynamic quantities, and conserved currents. We confirm the correctness of the classic two-fluid model by matching to the effective field theory for that model. Where there is an overlap, our results agree with those of Carter and Langlois, which were derived by different methods. We also discuss generalizations and special cases, including the non-relativistic limit and the conformal superfluid.

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Apparently superluminal superfluids

TL;DR: In this paper , the authors consider the superfluid phase of a specific renormalizable relativistic quantum field theory and show that there are consistent and regular vortex solutions where the velocity field as traditionally defined smoothly interpolates between zero and arbitrarily large superluminal values.
References
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Book

An introduction to the theory of superfluidity

TL;DR: A classic from 1965, this book covers the main aspects of the theory of quantum liquids, including the elementary excitation spectrum, hydrodynamics, and kinetic phenomena as mentioned in this paper, and can be used as a guide for professors teaching quantum liquid theory or as a text for graduate students.
Journal ArticleDOI

Classical and Quantum Consistency of the DGP Model

TL;DR: The boundary effective action of the Dvali-Gabadadze-Porrati model has been studied in this paper, where it is shown that the truncation of this action to the bending mode π consistently describes physics in a wide range of regimes both at the classical and at the quantum level.
Book ChapterDOI

The Theory of Superfluidity of Helium II

L.D. Landau
TL;DR: In this article, it is shown that at absolute zero a quantum liquid can possess the property of superfluidity and at nonzero temperatures it is found that two motions can simultaneously exist in helium II.
Journal ArticleDOI

Null energy condition and superluminal propagation

TL;DR: In this paper, the null energy condition is violated in a large class of situations, including isotropic solids and fluids relevant for cosmology, and the existence of superluminal modes is shown to imply the presence of instabilities.
Journal ArticleDOI

Effective field theory for hydrodynamics: Thermodynamics, and the derivative expansion

TL;DR: In this article, the authors consider the low-energy effective field theory describing the infrared dynamics of non-dispative fluids, and they extend previous work to accommodate conserved charges, and clarify the matching between field-theory variables and thermodynamical ones.