Vortex in a weakly relativistic Bose gas at zero temperature and relativistic fluid approximation

摘要

The Bogoliubov procedure in quantum field theory is used to describe arelativistic almost ideal Bose gas at zero temperature. Special attention isgiven to the study of a vortex. The radius of the vortex in the fielddescription is compared to that obtained in the relativistic fluidapproximation. The Kelvin waves are studied and, for long wavelengths, thedispersion relation is obtained by an asymptotic matching method and comparedwith the non relativistic result.