1994/10/13 by Samuel W. MacDowell, S. W. MacDowell, MacDowell, Samuel W. +2
Computer Science · Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nonlinear Dynamics and Pattern Formation #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9410276
16 pages, plain latex, talk given at the Gürsey Memorial Conference I on Strings and Symmetries, Istanbul, Turkey 6-10 June 1994, Preprint NORDITA 94/52P
arxiv created 1994/10/13 · openalex publication_date 1994/10/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The stability of an abelian (Nielsen-Olesen) vortex embedded in the electroweak theory against W production is investigated in a gauge defined by the condition of a single-component Higgs field. The model is characterized by the parameters β=(MH\over MZ)2 and γ=cos2θ\rm w where θ\rm w is the weak mixing angle. It is shown that the equations for W's in the background of the Nielsen-Olesen vortex have no solutions in the linear approximation. A necessary condition for the nonlinear equations to have a solution in the region of parameter space where the abelian vortex is classically unstable is that the W's be produced in a state of angular momentum m such that 0>m>-2n. The integer n is defined by the phase of the Higgs field, exp(inφ). Solutions for a set of values of the parameters β and γ in this region were obtained numerically for the case -m=n=1. The possibility of existence of a stationary state for n=1 with W's in the state m=-1 was investigated. The boundary conditions for the Euler-Lagrange equations required to make the energy finite cannot be satisfied at r=0. For these values of n and m the possibility of a finite-energy stationary state defined in terms of distributions is discussed.