Conformally invariant quantization of the Liouville theory

Journal Article · Mon May 10 04:00:00 EDT 1982 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.48.1309· OSTI ID:5095533

Curtright, T L; Thorn, C B

The Liouville theory is quantized with use of Fock space methods, an infinite set of charges L/sub n/, n = 0, +- 1,..., is constructed which represents the conformal algebra in two dimensions, and consequences of this algebra are discussed. It is then argued, with use of variational methods in Fock space, that the spectrum of the Liouville Hamiltonian is continuous, and that there exist energy eigenstates obeying the constraints L/sub n/Vertical BarE> = 0, n>0.

• Research Organization: Physics Department, University of Florida, Gainesville, Florida 32611
• OSTI ID: 5095533
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 48:19; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
COMPOSITE MODELS
CONFORMAL INVARIANCE
EIGENSTATES
ENERGY SPECTRA
ENERGY-MOMENTUM TENSOR
EXTENDED PARTICLE MODEL
FIELD THEORIES
FOCK REPRESENTATION
HAMILTONIANS
INVARIANCE PRINCIPLES
LIOUVILLE THEOREM
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
SPECTRA
STRING MODELS
TENSORS