2011/04/30 by Shu Lin · 1 citation
Mathematics · Physics and Astronomy · #Anomaly (physics) #Black Holes and Theoretical Physics #Cauchy stress tensor #Classical mechanics #Condensed matter physics #Cosmology and Gravitation Theories #Current (fluid) #Entropy (arrow of time) #Geometry #Magnetic field #Mathematical physics #Mathematics #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Superfluidity #Symmetry (geometry) #Tensor (intrinsic definition) #Thermodynamics #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1016/j.nuclphysa.2011.10.001
22 pages, missing terms included, with qualitative change of the results
arxiv created 2011/06/27 · openalex publication_date 2011/10/16 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It has been shown by Son and Surówka that the presence of anomaly in hydrodynamics with global U(1) symmetry can induce vortical and magnetic currents. The induced current is uniquely determined by anomaly from the existence of an entropy current with non-negative divergence. In this work, we extended the analysis to hydrodynamics with U(1) symmetry spontaneously broken, i.e. U(1) superfluid hydrodynamics. We found that all possible first order gradient corrections are determined up to five arbitrary functions, with the entropy current containing one arbitrary function. Furthermore, the stress tensor does not receive correction from terms proportional to the magnetic field.