Elsevier

Nuclear Physics B

Volume 322, Issue 1, 7 August 1989, Pages 210-234
Nuclear Physics B

Hamitonian formulation and scattering amplitudes in string theory at genus g

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Abstract

A hamiltonian formulation is provided for the bosonic closed string theory on genus-g Riemann surfaces. We define scattering amplitudes in the operator context by introducing suitable vertex operators. These turn out to be the natural extension of the g = 0 scattering amplitudes. As a first step for computing them we calculate correlation functions for the matter fields, and we reobtain the well-known results.

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