Class of kinks in SU(N)XZ2

Research output: Contribution to journalArticle

27 Citations (Scopus)

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 languageEnglish (US)
Article number105010
JournalPhysical Review D
Volume63
Issue number10
DOIs
StatePublished - 2001
Externally publishedYes

Fingerprint

Kink
symmetry
boundary conditions
Symmetry Group
coupling coefficients
Quartic
leaves
continuums
Boundary conditions
perturbation
Invariant Solutions
energy
Coset
Global Stability
Energy
Small Perturbations
Field Theory
Class
Continuum
Symmetry

ASJC Scopus subject areas

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

Cite this

Class of kinks in SU(N)XZ2 . / Vachaspati, Tanmay.

In: Physical Review D, Vol. 63, No. 10, 105010, 2001.

Research output: Contribution to journalArticle

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