The tetrahedron graph in Liouville theory on the pseudosphere
Pietro Menotti, Erik Tonni
TL;DR
This paper analytically computes the tetrahedron graph in Liouville theory on the pseudosphere, confirming the bootstrap formula's validity up to third order perturbation theory.
Contribution
It provides an explicit analytical calculation of the tetrahedron graph, extending the verification of the bootstrap formula in Liouville theory.
Findings
Complete agreement with the bootstrap formula up to third order
Extension of perturbative checks in Liouville theory
Analytical computation of complex Feynman diagrams
Abstract
We compute analytically the tetrahedron graph in Liouville theory on the pseudosphere. The result allows to extend the check of the bootstrap formula of Zamolodchikov and Zamolodchikov to third order perturbation theory of the coefficient G3. We obtain complete agreement.
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