Quantization of supersymmetric solitons

Details Quantization of supersymmetric solitons Quantization of supersymmetric solitons

2001-09-14

arxiv.org/abs/hep-th/0109119v3

Physics

High Energy Physics

High Energy Physics - Theory

diploma thesis, 115 pages LaTeX, 15 figures; v2: LaTeX showlabels switched off; v3:references added for sections 1.2 and 2.4,

Scientific paper

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.

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