2001/09/14 by Robert Wimmer, Wimmer, Robert · 3 citations
Physics and Astronomy · #Advanced Fiber Laser Technologies #Atomic and Subatomic Physics Research #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0109119
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
openalex publication_date 2001/09/14 · arxiv created 2001/10/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.