Imposing zero total momentum enables perturbative construction of the quantum ground state for solitons despite zero modes from broken translation invariance.
Quantum corrections to mass and central charge of supersymmetric solitons
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abstract
We review some recent developments in the subject of quantum corrections to soliton mass and central charge. We consider in particular approaches which use local densities for these corrections, as first discussed by Hidenaga Yamagishi. We then consider dimensional regularization of the supersymmetric kink in 1+1 dimensions and an extension of this method to a 2+1-dimensional gauge theory with supersymmetric abelian Higgs vortices as the solitons.
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Constructing Quantum Soliton States Despite Zero Modes
Imposing zero total momentum enables perturbative construction of the quantum ground state for solitons despite zero modes from broken translation invariance.