Nonpertubative weak-coupling analysis of the quantum Liouville field theory

Journal Article · Thu Mar 01 00:00:00 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), Vol. 153:1
• Country of Publication: United States
• Language: English

Related Subjects

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