Instability of a Nielsen-Olesen Vortex Embedded in the Electroweak Theory: I. the Single-Component Higgs Gauge
| dc.creator | MacDowell, Samuel W. | |
| dc.creator | Törnkvist, Ola | |
| dc.date | 1994-10-13 | |
| dc.date.accessioned | 2026-07-07T03:57:12Z | |
| dc.date.available | 2026-07-07T03:57:12Z | |
| dc.description | 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 $β=({M_H\over M_Z})^2$ and $γ=\cos^2θ_{\rm w}$ 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. | |
| dc.description | 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 | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9410276 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9410276 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/45317 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Instability of a Nielsen-Olesen Vortex Embedded in the Electroweak Theory: I. the Single-Component Higgs Gauge | |
| dc.type | text |