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arxiv: 1001.3305 · v2 · pith:2HZXAYGZnew · submitted 2010-01-19 · ✦ hep-th · hep-ph· math-ph· math.MP· nlin.PS

Example of a self-consistent solution for a fermion on domain wall

classification ✦ hep-th hep-phmath-phmath.MPnlin.PS
keywords domainwallfermionfieldself-consistentsolutionanalyticallycalculated
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We discuss a self-consistent solution for a fermion coupled to static scalar field in the form of a kink (domain wall). In particular, we study the case when the fermion occupies an excited non-zero frequency level in the presence of the domain wall field. The effect of the domain wall profile distortion is calculated analytically.

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