Abstract
The operator formalism for string theory at arbitrary genus is presented in great detail. A Hamiltonian operator is provided. This dictates the time evolution of any operator of the theory and, in particular, allows us to derive the equations of motion of the fundamental fields. Scattering amplitudes are defined as correlation functions of suitable vertex operators. The formalism lets one in general compute any correlation function. We compute correlation functions involving the matter field and reobtain standard results.
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© 1990 Springer-Verlag
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Lugo, A.R., Russo, J.G. (1990). Hamiltonian formulation of string theory and multiloop amplitudes in the operator context. In: Francaviglia, M., Gherardelli, F. (eds) Global Geometry and Mathematical Physics. Lecture Notes in Mathematics, vol 1451. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085068
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DOI: https://doi.org/10.1007/BFb0085068
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