Soliton stability in a Z(2) field theory

Abstract

We investigate the stability of the coupled soliton solutions of a two-component Z(2) vector eld model, in contraposition to similar solutions of a Z(2) Z(2) model recently introduced. We demonstrate that the coupled soliton solutions of the Z(2) model are classically unstable.

Spectral methods for coupled channels with a mass gap

“…[21] in Section VI to investigate whether the classical degeneracy of soliton configurations is broken by quantum corrections. Our results provide the exact one-loop VPEs, extending previous calculations that used the fluctuation spectrum to confirm stability of these solutions [22][23][24][25][26]. A short summary is given in Sec.…”

Classical stability ofU(1)Adomain walls in dense matter QCD

“…The eigenvalue equations can be decoupled by diagonalizing the matrix U. We should note that only the potential term has to be diagonalized when looking for negative energy modes, as was done in [23]. The result is…”

“…A similar case involving two coupled scalar fields was looked at in [23] and we will follow the standard procedure presented there closely. If the field configuration is classically stable, the second variation of the energy should be a positive differential operator.…”

Kinks con dos componentes: de su relación con sistemas dinámicos integrables y modelos supersimétricos

“…Figura 1.11: Kinks singulares sobre el plano elíptico El análisis de la estabilidad en este caso mediante el operador hessiano es un problema altamente no trivial [138,16,11]. La complejidad del problema está provocada por el carácter no diagonal de H debida al acoplamiento de las perturbaciones.…”