Abstract

The general solution of the Fairlie-Nielsen analogue model for dual multiparticle theory is discussed. By using the theory of functionals on Riemann surfaces, we show that all the relevant Green functions for orientable and nonorientable multiloop diagrams can be obtained in terms of Burnside automorphic functions. As an example, the one-loop orientable and nonorientable diagrams are considered in detail from this point of view. A general discussion ofN-loop orientable and nonorientable diagrams in the operator formalism is also given.

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