Conjectures and numerically verifies a leading UV asymptotic formula for finite-volume vertex operator VEVs in the sine-Gordon model from kink NLIE, matching complex Liouville CFT results to 19 digits.
Teschner,On the Liouville three point function,Phys
2 Pith papers cite this work, alongside 270 external citations. Polarity classification is still indexing.
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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.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
By fixing the Liouville-Mellin dictionary via conformal covariance and semiclassical consistency, the authors derive the leading and subleading b^2 terms of the celestial three-gluon amplitude from the DOZZ function, with the one-loop piece expressed using modified Bessel functions.
citing papers explorer
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Leading UV Formula for Finite-Volume Vertex Operator Expectation Values in the Sine-Gordon Model from Kink NLIE
Conjectures and numerically verifies a leading UV asymptotic formula for finite-volume vertex operator VEVs in the sine-Gordon model from kink NLIE, matching complex Liouville CFT results to 19 digits.
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A perturbative Liouville prescription for the celestial three-gluon amplitude
By fixing the Liouville-Mellin dictionary via conformal covariance and semiclassical consistency, the authors derive the leading and subleading b^2 terms of the celestial three-gluon amplitude from the DOZZ function, with the one-loop piece expressed using modified Bessel functions.