Fermions on one or fewer kinks

Yi Zen Chu, Tanmay Vachaspati

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10 Scopus citations

Abstract

We find the full spectrum of fermion bound states on a Z2 kink. In addition to the zero mode, there are int[2mf/ms] bound states, where mf is the fermion and ms the scalar mass. We also study fermion modes on the background of a well-separated kink-antikink pair. Using a variational argument, we prove that there is at least one bound state in this background, and that the energy of this bound state goes to zero with increasing kink-antikink separation, 2L, and faster than e-a2L where a=min(ms,2mf). By numerical evaluation, we find some of the low lying bound states explicitly.

Original languageEnglish (US)
Article number025006
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume77
Issue number2
DOIs
StatePublished - Jan 9 2008
Externally publishedYes

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ASJC Scopus subject areas

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

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