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Resonance mediated by fermions in kink-antikink collisions
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abstract
We investigate generalizations of the $\phi^4$ and sine-Gordon models, including interactions with Dirac Fermions. We observe new resonance phenomena by taking the fermion back-reaction into account. First, we show that the vibrational mode responsible for the resonance structure of the $\phi^4$ model has the same frequency as the energy of the fermion excited state when the back-reaction becomes more significant. Second, we consider the sine-Gordon model with the addition of a fermion field and find that a resonant structure appears, despite the absence of a scalar vibrational mode. The vibrational frequency of the mode responsible for the exchange mechanism is again the energy of the fermion excited state. Therefore, we find a new type of resonant energy exchange mechanism which is mediated by fermions.
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Cited by 1 Pith paper
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Constructing A Finite Tension Domain Wall in $\phi^4_4$
The one-loop domain wall tension in φ^4_4 is finite because the positive divergence from the displacement operator is exactly cancelled by the negative divergence from the squeeze (Bogoliubov) contribution.
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