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Abstract: We review our work of the past decade on one-loop quantum corrections to themass M and central charge Z of solitons in supersymmetric field theories: thekink, the vortex, and the monopoles focussing on the kink and the monopoleshere. In each case a new feature was needed to obtain BPS saturation: a newanomaly-like contribution to Z for the kink and the N=2 monopole, the effect ofclassical winding of the quantum vortex contributing to Z, surface termscontributing to M of the N=4 monopole and to Z of the N=2 and N=4 monopoles,and composite operator renormalization for the currents of the -finite- N=4model. We use dimensional regularization, modified to preserve susy and beapplicable to solitons, and suitable renormalization conditions. In the modeexpansion of bosonic and fermionic quantum fields, zero modes appear then asmassless nonzero modes.



Autor: A. Rebhan, P. van Nieuwenhuizen, R. Wimmer

Fuente: https://arxiv.org/



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