publication . Preprint . Article . 2002

On the Liouville three-point function

J"org Teschner;
Open Access English
  • Published: 26 Jul 2002
Abstract
The recently proposed expression for the general three point function of exponential fields in quantum Liouville theory on the sphere is considered. By exploiting locality or crossing symmetry in the case of those four-point functions, which may be expressed in terms of hypergeometric functions, a set of functional equations is found for the general three point function. It is shown that the expression proposed by the Zamolodchikovs solves these functional equations and that under certain assumptions the solution is unique.
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Subjects
free text keywords: High Energy Physics - Theory, Exponential function, Mathematical physics, Functional equation, Crossing, Locality, Point function, Hypergeometric function, Physics, Quantum

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