Quantum energies of BPS vortices in $D=2+1$ and $D=3+1$

Abstract

We consider vortices in scalar electrodynamics and compute the leading quantum correction to their energies for the BPS case of identical classical masses of the Higgs and gauge fields. In particular, we focus on the winding number $n$ dependence of these corrections, from which we can extract the binding energies of configurations with larger $n$. For both dimensionalities, $D=2+1$ and $D=3+1$, we find that quantum corrections are negative and scale approximately linearly with $n$, so that combined vortices are favored over isolated ones.

arXiv comment18 pages, typos corrected to match journal version

References in corpus (17)

• Supersymmetry and Bogomol'nyi equations in the Abelian Higgs Model
• Vacuum energy in a spherically symmetric background field
• Quantum Energies of Interfaces
• Searching for Quantum Solitons in a 3+1 Dimensional Chiral Yukawa Model
• Finite Energy Sum Rules in Potential Scattering
• Quantum QED Flux Tubes in 2+1 and 3+1 Dimensions
• Quantum Corrections to Soliton Energies
• Quantum Instabilities of Solitons
• Quantum Aspects of Supersymmetric Maxwell Chern-Simons Solitons
• Renormalization of the Abelian-Higgs Model in the R-xi and Unitary gauges and the physicality of its scalar potential
• Fermion Energies in the Background of a Cosmic String
• Fermion-induced effective action in the presence of a static inhomogeneous magnetic field
• Quantum magnetic flux lines, BPS vortex zero modes, and one-loop string tension shifts
• Erratum: One-loop corrections to the string tension of the vortex in the Abelian Higgs model
• One-loop corrections to the string tension of the vortex in the Abelian Higgs model
• Winding number dependence of quantum vortex energies at one-loop
• Vacuum polarization energy of a complex scalar field in a vortex background

Cited by in corpus (3)

• Excited fermions on kinks and the Dirac sea
• Quantum energies of solitons with different topological charges
• Vortex Fractional Fermion Number through Heat Kernel methods and Edge States