Fermions on one or fewer kinks

Yi Zen Chu, Tanmay Vachaspati

Research output: Contribution to journalArticle

8 Citations (Scopus)

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

Fingerprint

Kink
Bound States
Fermions
fermions
scalars
Zero
evaluation
Scalar
Lower bound
Evaluation
Energy
energy
Background

ASJC Scopus subject areas

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

Cite this

Fermions on one or fewer kinks. / Chu, Yi Zen; Vachaspati, Tanmay.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 77, No. 2, 025006, 09.01.2008.

Research output: Contribution to journalArticle

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