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

J. -G. Zhou; F. Zimmerschied; J. -Q. Liang; H. J. W. Mueller-Kirsten; D. H. Tchrakian

doi:10.1142/s0217751x96002297

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

J. -G. Zhou·F. Zimmerschied·J. -Q. Liang·H. J. W. Mueller-Kirsten·D. H. Tchrakian

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Abstract

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.

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J. -G. Zhou, F. Zimmerschied, J. -Q. Liang, H. J. W. Mueller-Kirsten, D. H. Tchrakian. 1996-03-05. Significance of zero modes in path--integral quantization of solitonic theories with BRST invariance. https://doi.org/10.1142/s0217751x96002297

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