Exact operator solution of the quantum Liouville field theory

Journal Article · Sun May 01 04:00:00 EDT 1983 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(83)90214-2· OSTI ID:5720251

Braaten, E; Curtright, T; Thorn, C

Exact, closed form results are given expressing the quantum Liouville field theory in terms of a canonical free pseudoscalar field. The classical conformal transformation properties and Baechlund transformation of the Liouville model are briefly reviewed and then developed into explicit operator statements for the quantum theory. This development leads to exact expressions for the basic operator functions of the Liouville field: partial/sub ..mu../Phi, and e/sup n/phi. An operator product analysis is then used to construct the Liouville energy-momentum tensor operator, which is shown to be equal to that of a free pseudoscalar field. Dynamical consequences of this equilvalence are discussed, including the relation between the Liouville and free field energy eigenstates. Liouville correlation functions are partially analyzed, and remaining open questions are discussed.

• Research Organization: Physics Department, University of Florida, Gainesville, Florida 32611
• DOE Contract Number: AS05-81ER40008
• OSTI ID: 5720251
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Journal Issue: 2 Vol. 147:2; 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
BOUNDARY CONDITIONS
CANONICAL TRANSFORMATIONS
COMMUTATION RELATIONS
COMMUTATORS
CORRELATION FUNCTIONS
ENERGY-MOMENTUM TENSOR
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
LIOUVILLE THEOREM
MATHEMATICAL OPERATORS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
TENSORS
TRANSFORMATIONS