Light-cone quantization of the Liouville model

Journal Article · Sat May 15 04:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.4538· OSTI ID:6613626

Bienkowska, J ^[1]

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1. Department of Physics and Enrico Fermi Institute, The University of Chicago, 5640 South Ellis Avenue, Chicago, Illinois 60637 (United States)

We present the quantization of the Liouville model defined in light-cone coordinates in (1,1) signature space. We take advantage of the representation of the Liouville field by the free field of the Backluend transformation and adapt the approach by Braaten, Curtright, and Thorn. Quantum operators of the Liouville field [partial derivative][sub +][phi], [partial derivative][sub [minus]][phi], [ital e][sup [ital g][phi]], [ital e][sup 2[ital g][phi]] are constructed consistently in terms of the free field. The Liouville model field theory space is found to be restricted to the sector with field momentum [ital P][sub +]=[minus][ital P][sub [minus]], [ital P][sub +][gt]0, which is a closed subspace for the Liouville theory operator algebra.

• DOE Contract Number: FG02-90ER40560
• OSTI ID: 6613626
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:10; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FIELD OPERATORS
FIELD THEORIES
LIGHT CONE
MATHEMATICAL OPERATORS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTIZATION
QUANTUM OPERATORS
RENORMALIZATION
SPACE-TIME