We compare the standard and geometric approaches to quantum Liouville theory on the pseudosphere by performing perturbative calculations of the one and two point functions up to the third order in the coupling constant. The choice of the Hadamard regularization within the geometric approach leads to a discrepancy with the standard approach. On the other hand, we find complete agreement between the results of the standard approach and the bootstrap conjectures for the one point function and the auxiliary two point function.
Standard and geometric approaches to quantum Liouville theory on the pseudosphere / Menotti, P.; Tonni, E.. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - 707:3(2005), pp. 321-346. [10.1016/j.nuclphysb.2004.11.003]
Standard and geometric approaches to quantum Liouville theory on the pseudosphere
Tonni, E.
2005-01-01
Abstract
We compare the standard and geometric approaches to quantum Liouville theory on the pseudosphere by performing perturbative calculations of the one and two point functions up to the third order in the coupling constant. The choice of the Hadamard regularization within the geometric approach leads to a discrepancy with the standard approach. On the other hand, we find complete agreement between the results of the standard approach and the bootstrap conjectures for the one point function and the auxiliary two point function.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
