We develop a perturbative expansion of quantum Liouville theory on the pseudosphere around the background generated by heavy charges. Explicit results are presented for the one and two point functions corresponding to the summation of infinite classes of standard perturbative graphs. The results are compared to the one point function and to a special case of the two point function derived by Zamolodchikov and Zamolodchikov in the bootstrap approach, finding complete agreement. A partial summation of the conformal block is also obtained.
Quantum Liouville theory on the pseudosphere with heavy charges / Menotti, Pietro; Tonni, Erik. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 633:2-3(2006), pp. 404-408. [10.1016/j.physletb.2005.11.061]
Quantum Liouville theory on the pseudosphere with heavy charges
Tonni, Erik
2006-01-01
Abstract
We develop a perturbative expansion of quantum Liouville theory on the pseudosphere around the background generated by heavy charges. Explicit results are presented for the one and two point functions corresponding to the summation of infinite classes of standard perturbative graphs. The results are compared to the one point function and to a special case of the two point function derived by Zamolodchikov and Zamolodchikov in the bootstrap approach, finding complete agreement. A partial summation of the conformal block is also obtained.| File | Dimensione | Formato | |
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