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Quantum stability of defects for a Dirac field coupled to a scalar field in 2+1 dimensions

C. D. Fosco
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Abstract

We study the Euclidean effective action and the full fermion propagator for a Dirac field in the presence of a scalar field with a domain wall defect, in 2+1 dimensions. We include quantum effects due to both fermion and scalar field fluctuations, in a one-loop approximation. The results are interpreted in terms of the quantum stability of the zero mode solution. We also study, for this system, the induced `inertial' electric field for the fermions on the defect, due to the quantum fluctuations of the scalar field.

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C. D. Fosco. 2002-05-30. Quantum stability of defects for a Dirac field coupled to a scalar field in 2+1 dimensions. https://arxiv.org/abs/hep-th/0205312

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