Vortex Filament in Three-manifold and the Duistermaat-Heckman Formula

Details Vortex Filament in Three-manifold and the Duistermaat-Heckman Formula Vortex Filament in Three-manifold and the Duistermaat-Heckman Formula

1995-08-24

arxiv.org/abs/hep-th/9508118v3

Physics

High Energy Physics

High Energy Physics - Theory

Revised to include Figure2 (a PostScript file). 15 pages, LaTex2e, 2 figures

Scientific paper

10.1016/0375-9601(95)00906-X

Symplectic geometry of the vortex filament in a curved three-manifold is
investigated. There appears an infinite sequence of constants of motion in
involution in the case of constant curvature. The Duistermaat-Heckman formula
is examined perturbatively for the classical partition function in our model
and verified up to the 3-loop order.

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