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20 April 2024
 
  » arxiv » 1009.4370

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Stable branches of a solution for a fermion on domain wall
V. A. Gani ; V. G. Ksenzov ; A. E. Kudryavtsev ;
Date 22 Sep 2010
AbstractWe discuss the case when a fermion occupies an excited non-zero frequency level in the field of domain wall. We demonstrate that a solution exists for the coupling constant in the limited interval $1<g<g_{max}approx 1.65$. We show that indeed there are different branches of stable solution for $g$ in this interval. The first one corresponds to a fermion located on the domain wall ($1<g<sqrt[4]{2pi}$). The second branch, which belongs to the interval $sqrt[4]{2pi}le gle g_{max}$, describes a polarized fermion off the domain wall. The third branch with $1<g<g_{max}$ describes an excited antifermion in the field of the domain wall.
Source arXiv, 1009.4370
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