Quantization of supersymmetric solitons

Abstract

We investigate the issue of regularization/renormalization in the presence of a nontrivial background in the case of 1+1-(supersymmetric) solitons. In particular we study and compare the commonly employed regularization methods (mode- energy/momentum- cutoff and derivative regularization). We show that the main point for a consistent regularization/renormalization is to find a relation between the ``cutoffs'' in the vacuum and the nontrivial sector so that they can be related in a consistent manner. For each scheme we give a principle to derive this relation and to perform calculations in a consistent way. These principles are simple and not restricted to two dimensions or supersymmetric theories.

diploma thesis, 115 pages LaTeX, 15 figures; v2: LaTeX showlabels switched off; v3:references added for sections 1.2 and 2.4, figures labelled in more detail and acknowledgements are added

Cited by in corpus (10)

• Quantum corrections to the mass of the supersymmetric vortex
• One-loop correction to classical masses of quantum kink families
• The anomaly in the central charge of the supersymmetric kink from dimensional regularization and reduction
• Local Casimir Energy For Solitons
• One-loop kink mass shifts: a computational approach
• Well-Defined Quantum Soliton Masses Without Supersymmetry
• Lectures on the mass of topological solitons
• Clash of discrete symmetries for the supersymmetric kink on a circle
• Quantum fluctuations around low-dimensional topological defects
• Comment on `One Loop Renormalization of Soliton Quantum Mass Corrections in 1+1 Dimensional Scalar Field Theory Models' (Phys. Lett. B542 (2002) 282 [hep-th/0206047])