Liouville field theory with heavy charges. I. The pseudosphere

Details Liouville field theory with heavy charges. I. The pseudosphere Liouville field theory with heavy charges. I. The pseudosphere

2006-02-21

arxiv.org/abs/hep-th/0602206v1

JHEP0606:020,2006

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 33 pages, 7 figures

Scientific paper

10.1088/1126-6708/2006/06/020

We work out the perturbative expansion of quantum Liouville theory on the pseudosphere starting from the semiclassical limit of a background generated by heavy charges. By solving perturbatively the Riemann-Hilbert problem for the Poincare' accessory parameters, we give in closed form the exact Green function on the background generated by one finite charge. Such a Green function is used to compute the quantum determinants i.e. the one loop corrections to known semiclassical limits thus providing the resummation of infinite classes of standard perturbative graphs. The results obtained for the one point function are compared with the bootstrap formula while those for the two point function are compared with the existing double perturbative expansion and with a degenerate case, finding complete agreement.

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