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- W2963674483 abstract "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 $beta=({M_Hover M_Z})^2$ and $gamma=cos^2theta_{rm w}$ where $theta_{rm w}$ 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, $exp(invarphi)$. Solutions for a set of values of the parameters $beta$ and $gamma$ 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." @default.
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- W2963674483 date "1994-10-01" @default.
- W2963674483 modified "2023-09-26" @default.
- W2963674483 title "Instability of a Nielsen-Olesen Vortex Embedded in the Electroweak Theory: I. the Single-Component Higgs Gauge" @default.
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