Reply to Comment on 'Symmetry of Kelvin-wave dynamics and the Kelvin-wave cascade in the T=0 superfluid turbulence' [arXiv:1208.4593]

摘要

I discuss the Comment by L'vov and Nazarenko (arXiv:1208.4593) aiming atrefutation of my perviously published criticism of their mechanism of theKelvin-wave cascade. It is important that in their Comment L'vov and Nazarenkoadmitted that the Hamiltonian, from which they derived their mechanism, is nottilt-invariant. This provides full ammunition to their critics, who believethat their mechanism is in conflict with tilt symmetry of the Kelvin-wavedynamics in an isotropic space.