Class of kinks in [Formula Presented]

Research output: Contribution to journalArticle

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 languageEnglish (US)
Number of pages1
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume63
Issue number10
DOIs
StatePublished - Jan 1 2001
Externally publishedYes

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symmetry
boundary conditions
coupling coefficients
leaves
continuums
perturbation
energy

ASJC Scopus subject areas

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

Cite this

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

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 63, No. 10, 01.01.2001.

Research output: Contribution to journalArticle

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