Nonpertubative weak-coupling analysis of the quantum Liouville field theory

Journal Article · Thu Mar 01 04:00:00 EST 1984 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(84)90187-8· OSTI ID:6738623

Braaten, E; Curtright, T; Ghandour, G; Thorn, C

Two independent weak-coupling expansions are developed for the Liouville quantum field theory in a circle. In the first, the coupling of the nonzero modes is treated as a perturbation on the exact solution to the zero-mode problem (quantum mechanics with an exponential potential). The second approach is a weak coupling approximation to an explicit operator solution which expresses various Liouville operators as functions of a free massless field using a Baecklund transformation. It is shown that the free state space associated with the latter solution must be restricted to the sector which is odd with respect to a type of ''parity.'' Various matrix elements are computed to order g/sup 10/ using both approaches, yielding identical results.

• Research Organization: Physics Department, University of Florida, Gainesville, Florida 32611
• DOE Contract Number: AS05-81ER40008
• OSTI ID: 6738623
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 153:1; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAECKLUND TRANSFORMATION
EIGENSTATES
FIELD THEORIES
MATHEMATICAL MODELS
MATRIX ELEMENTS
NONLINEAR PROBLEMS
NUCLEAR MODELS
PERTURBATION THEORY
QUANTUM FIELD THEORY
SCALAR FIELDS
TRANSFORMATIONS
TWO-DIMENSIONAL CALCULATIONS
WEAK-COUPLING MODEL