### Abstract

In a classical, quartic field theory with (Formula presented) 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 (Formula presented) the energy of the kink is equal to that of a kink in a (Formula presented) model with the same mass parameter and quartic coupling [coefficient of (Formula presented) 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 (Formula presented) where H is the unbroken symmetry group and I is the symmetry group that leaves the kink solution invariant.

Original language | English (US) |
---|---|

Number of pages | 1 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 63 |

Issue number | 10 |

DOIs | |

State | Published - Jan 1 2001 |

Externally published | Yes |

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### ASJC Scopus subject areas

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

### Cite this

**Class of kinks in [Formula Presented].** / Vachaspati, Tanmay.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Class of kinks in [Formula Presented]

AU - Vachaspati, Tanmay

PY - 2001/1/1

Y1 - 2001/1/1

N2 - In a classical, quartic field theory with (Formula presented) 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 (Formula presented) the energy of the kink is equal to that of a kink in a (Formula presented) model with the same mass parameter and quartic coupling [coefficient of (Formula presented) 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 (Formula presented) where H is the unbroken symmetry group and I is the symmetry group that leaves the kink solution invariant.

AB - In a classical, quartic field theory with (Formula presented) 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 (Formula presented) the energy of the kink is equal to that of a kink in a (Formula presented) model with the same mass parameter and quartic coupling [coefficient of (Formula presented) 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 (Formula presented) where H is the unbroken symmetry group and I is the symmetry group that leaves the kink solution invariant.

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U2 - 10.1103/PhysRevD.63.105010

DO - 10.1103/PhysRevD.63.105010

M3 - Article

AN - SCOPUS:85037881177

VL - 63

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 10

ER -