2010/07/19 by V. V. Lebedev, В. В. Лебедев, Victor S. L’vov +3 · 2 citations
Mathematics · Physics and Astronomy · #Asymptote #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Energy (signal processing) #Energy spectrum #Geometry #Homogeneous space #Kelvin wave #Mathematical analysis #Mathematical physics #Mathematics #Mechanics #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Theoretical physics #Turbulence #cond-mat.other
paper · pdf · doi:10.1007/s10909-010-0240-1
arxiv created 2010/07/19 · openalex publication_date 2010/10/18 · arxiv updated 2015/05/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
E.V. Kozik and B.V. Svistunov (KS) paper "Symmetries and Interaction Coefficients of Kelvin waves", arXiv:1006.1789v1, [cond-mat.other] 9 Jun 2010, contains a comment on paper "Symmetries and Interaction coefficients of Kelvin waves", V. V. Lebedev and V. S. L'vov, arXiv:1005.4575, 25 May 2010. It relies mainly on the KS text "Geometric Symmetries in Superfluid Vortex Dynamics", arXiv:1006.0506v1 [cond-mat.other] 2 Jun 2010. The main claim of KS is that a symmetry argument prevents linear in wavenumber infrared asymptotics of the interaction vertex and thereby implies locality of the Kelvin wave spectrum previously obtained by these authors. In the present note we reply to their arguments. We conclude that there is neither proof of locality nor any refutation of the possibility of linear asymptotic behavior of interaction vertices in the texts of KS.