Quantum stabilization of Z-strings, a status report on D=3+1 dimensions

Abstract

We investigate an extension to the phase shift formalism for calculating one-loop determinants. This extension is motivated by requirements of the computation of Z-string quantum energies in D=3+1 dimensions. A subtlety that seems to imply that the vacuum polarization diagram in this formalism is (erroneously) finite is thoroughly investigated.

Based on talk by O.S. at QFEXT07, Leipzig Sept. 2007. 8 pages

References in corpus (13)

• Semilocal and Electroweak Strings
• Calculating Vacuum Energies in Renormalizable Quantum Field Theories: A New Approach to the Casimir Problem
• Casimir Energies in Light of Quantum Field Theory
• Electroweak Baryogenesis with Electroweak Strings
• Fermions Destabilize Electroweak Strings
• Casimir Effects in Renormalizable Quantum Field Theories
• Quantum Energies of Interfaces
• Finite Energy Sum Rules in Potential Scattering
• The Dirac Sea Contribution To The Energy Of An Electroweak String
• Quantum Energies of Strings in a 2+1 Dimensional Gauge Theory
• Fermion-induced effective action in the presence of a static inhomogeneous magnetic field
• Quantum stabilization of Z-strings in the electroweak model
• Phase shift approach in the case of a magnetic flux tube

Cited by in corpus (10)

• Kink interactions in the (1+1)-dimensional ${\phi }^6$ model
• Kink excitation spectra in the (1+1)-dimensional ${\phi }^8$ model
• Stable charged cosmic strings
• Fermion Energies in the Background of a Cosmic String
• Gauge Invariance and Vacuum Energies of Non-Abelian String-Configurations
• Vacuum Energies of Non--Abelian String--Configurations in 3+1 Dimensions
• Attractive Electromagnetic Casimir Stress on a Spherical Dielectric Shell
• Quantum fluctuations around low-dimensional topological defects
• Isospin Invariance and the Vacuum Polarization Energy of Cosmic Strings
• Quantum Stabilization of a Closed Nielsen-Olesen String