## Instanton-Sphaleron transition in the d = 2 Abelian-Higgs model on a Circle

• Abstract: The transition from the instanton-dominated quantum regime to the sphaleron-dominated classical regime is studied in the d = 2 abelian-Higgs model when the spatial coordinate is compactified to S1. Contrary to the noncompactified case, this model allows both sharp first-order and smooth second-order transitions depending on the size of the circle. This finding may make the model a useful toy model for the analysis of baryon number violating processes.

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Author: D.K. Park, H. J. W. Müller-Kirsten, J.-Q. Liang, A. V. Shurgaia urn:nbn:de:hbz:386-kluedo-11140 Preprint English 2000 2000 Technische Universität Kaiserslautern 2001/02/16 Fachbereich Physik 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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