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

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

1996-03-05

arxiv.org/abs/hep-th/9603018v1

Int.J.Mod.Phys. A11 (1996) 4985-4998

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTex

Scientific paper

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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