### Abstract

In a classical, quartic field theory with SU(N)XZ2 symmetry, a class of kink solutions can be found analytically for one special choice of parameters. We construct these solutions and determine their energies. In the limit N-t, the energy of the kink is equal to that of a kink in a Z2 model with the same mass parameter and quartic coupling [coefficient of Tr(<I'4)]. We prove the stability of the solutions to small perturbations but global stability remains unproven. We then argue that the continuum of choices for the boundary conditions leads to a whole space of kink solutions. The kinks in this space occur in classes that are determined by the chosen boundary conditions. Each class is described by the coset space HI I where H is the unbroken symmetry group and / is the symmetry group that leaves the kink solution invariant.

Original language | English (US) |
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Article number | 105010 |

Journal | Physical Review D |

Volume | 63 |

Issue number | 10 |

DOIs | |

State | Published - Dec 1 2001 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

_{2}.

*Physical Review D*,

*63*(10), [105010]. https://doi.org/10.1103/PhysRevD.63.105010