Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-11-10
Annals Phys. 277 (1999) 117-143; Theor.Math.Phys. 123 (2000) 663-670
Physics
High Energy Physics
High Energy Physics - Theory
Plain TeX File; 36 pages
Scientific paper
10.1006/aphy.1999.5951
The quantisation of the two-dimensional Liouville field theory is investigated using the path integral, on the sphere, in the large radius limit. The general form of the $N$-point functions of vertex operators is found and the three-point function is derived explicitly. In previous work it was inferred that the three-point function should possess a two-dimensional lattice of poles in the parameter space (as opposed to a one-dimensional lattice one would expect from the standard Liouville potential). Here we argue that the two-dimensionality of the lattice has its origin in the duality of the quantum mechanical Liouville states and we incorporate this duality into the path integral by using a two-exponential potential. Contrary to what one might expect, this does not violate conformal invariance; and has the great advantage of producing the two-dimensional lattice in a natural way.
O'Raifeartaigh Lochlain
Pawlowski Jan M.
Sreedhar V. V.
No associations
LandOfFree
Duality in Quantum Liouville Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Duality in Quantum Liouville Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Duality in Quantum Liouville Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-11474