Heavy Fermion Stabilization of Solitons in 1+1 Dimensions

Details Heavy Fermion Stabilization of Solitons in 1+1 Dimensions Heavy Fermion Stabilization of Solitons in 1+1 Dimensions

2000-03-16

arxiv.org/abs/hep-th/0003144v3

Nucl.Phys. B585 (2000) 443

Physics

High Energy Physics

High Energy Physics - Theory

27 papes Latex, equation labels corrected, version to be published in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(00)00371-0

We find static solitons stabilized by quantum corrections in a (1+1)-dimensional model with a scalar field chirally coupled to fermions. This model does not support classical solitons. We compute the renormalized energy functional including one-loop quantum corrections. We carry out a variational search for a configuration that minimizes the energy functional. We find a nontrivial configuration with fermion number whose energy is lower than the same number of free fermions quantized about the translationally invariant vacuum. In order to compute the quantum corrections for a given background field we use a phase-shift parameterization of the Casimir energy. We identify orders of the Born series for the phase shift with perturbative Feynman diagrams in order to renormalize the Casimir energy using perturbatively determined counterterms. Generalizing dimensional regularization, we demonstrate that this procedure yields a finite and unambiguous energy functional.

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