Classical and quantal Liouville field theory

Journal Article · Wed Dec 15 04:00:00 EST 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.26.3517· OSTI ID:6509313

D'Hoker, E; Jackiw, R

The canonical structure of the Liouville theory is investigated. We present two canonical transformations which map the theory onto a free field theory. The first makes use of conformal invariance and relies on a Yang-Feldman solution to the field equation. The second employs the inverse scattering method, which is uncommonly intricate, owing to the conformal invariance. We also analyze the quantized theory. Semiclassical arguments, supplemented by a study of the exact effective potential, suggest that the theory has a conformally invariant, continuous energy spectrum, bounded from below, but no translationally invariant ground state.

• Research Organization: Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
• DOE Contract Number: AC02-76ER03069
• OSTI ID: 6509313
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 26:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CANONICAL TRANSFORMATIONS
CLASSICAL MECHANICS
CONFORMAL INVARIANCE
ENERGY SPECTRA
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
INSTANTONS
INVARIANCE PRINCIPLES
INVERSE SCATTERING PROBLEM
LAGRANGIAN FUNCTION
MECHANICS
QUANTUM FIELD THEORY
QUASI PARTICLES
RELATIVITY THEORY
SOLITONS
SPECTRA
TRANSFORMATIONS
TWO-DIMENSIONAL CALCULATIONS
YANG-FELDMAN FORMALISM