We develop a general technique for computing functional integrals with fixed area and boundary length constraints. The correct quantum dimensions for the vertex functions are recovered by properly regularizing the Green function. Explicit computation is given for the one point function providing the first one loop check of the bootstrap formula.
Liouville field theory with heavy charges. II. The conformal boundary case / Menotti, P.; Tonni, E.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2006:6(2006), pp. 1-24. [10.1088/1126-6708/2006/06/022]
Liouville field theory with heavy charges. II. The conformal boundary case
Tonni, E.
2006-01-01
Abstract
We develop a general technique for computing functional integrals with fixed area and boundary length constraints. The correct quantum dimensions for the vertex functions are recovered by properly regularizing the Green function. Explicit computation is given for the one point function providing the first one loop check of the bootstrap formula.File in questo prodotto:
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