### 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) |
---|---|

Article number | 105010 |

Journal | Physical Review D |

Volume | 63 |

Issue number | 10 |

DOIs | |

State | Published - 2001 |

Externally published | Yes |

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### ASJC Scopus subject areas

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

### Cite this

_{2}

*Physical Review D*,

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

**Class of kinks in SU(N)XZ _{2}
.** / Vachaspati, Tanmay.

Research output: Contribution to journal › Article

_{2}',

*Physical Review D*, vol. 63, no. 10, 105010. https://doi.org/10.1103/PhysRevD.63.105010

_{2}Physical Review D. 2001;63(10). 105010. https://doi.org/10.1103/PhysRevD.63.105010

}

TY - JOUR

T1 - Class of kinks in SU(N)XZ2

AU - Vachaspati, Tanmay

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0034895007&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034895007&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.63.105010

DO - 10.1103/PhysRevD.63.105010

M3 - Article

AN - SCOPUS:0034895007

VL - 63

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 10

M1 - 105010

ER -