Significance of zero modes in path-integral quantization of solitonic theories with BRST invariance

• The significance of zero modes in the path-integral quantization of some solitonic models is investigated. In particular a Skyrme-like theory with topological vortices in (1 + 2) dimensions is studied, and with a BRST invariant gauge fixing a well defined transition amplitude is obtained in the one loop approximation. We also present an alternative method which does not necessitate evoking the time-dependence in the functional integral, but is equivalent to the original one in dealing with the quantization in the background of the static classical solution of the non-linear field equations. The considerations given here are particularly useful in - but also limited to -the one-loop approximation.

Author: Jui-Qing Liang, H. J. W. Müller-Kirsten, F. Zimmerschied, Jiang-Ge Zhou, D. H. Tchrakiana urn:nbn:de:hbz:386-kluedo-8521 Preprint English 1996 1996 Technische Universität Kaiserslautern 2000/04/03 Fachbereich Physik 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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