Multiloop World-Line Green Functions from String Theory

Details Multiloop World-Line Green Functions from String Theory Multiloop World-Line Green Functions from String Theory

1996-04-24

arxiv.org/abs/hep-th/9604152v2

Nucl.Phys. B480 (1996) 99-124

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 6 figures. Published version

Scientific paper

10.1016/S0550-3213(96)00447-6

We show how the multiloop bosonic Green function of closed string theory reduces to the world-line Green function as defined by Schmidt and Schubert in the limit where the string world-sheet degenerates into a $\Phi^3$ particle diagram. To obtain this correspondence we have to make an appropriate choice of the local coordinates defined on the degenerate string world sheet. We also present a set of simple rules that specify, in the explicit setting of the Schottky parametrization, which is the corner of moduli space corresponding to a given multiloop $\Phi^3$ diagram.

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