2003/04/30 by M. Bordag, I. V. Drozdov, I. Drozdov · 1 citation
Physics and Astronomy · #Classical mechanics #Energy (signal processing) #Mathematical physics #Mechanics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Regularization (linguistics) #Renormalization #Spinor #Vacuum energy #Vortex #hep-th
paper · pdf · doi:10.1103/physrevd.68.065026
published as Phys.Rev.D68:065026,2003 · 22 pages, 6 figures
arxiv created 2003/04/30 · openalex publication_date 2003/09/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We calculate the vacuum energy of a spinor field in the background of a Nielsen-Olesen vortex. We use the method of representing the vacuum energy in terms of the Jost function on the imaginary momentum axis. We use zeta-functional regularization. Renormalization is then carried out with the help of the heat kernel expansion. This method gives rise to well convergent sums and integrals which allow for an efficient numerical calculation of the vacuum energy even in the case when the background is not known analytically but only numerically. The vacuum energy is calculated for several choices of the parameters and, as it turns out, is small compared to the classical energy.