Light-cone quantization of the Liouville model

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

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

Bienkowska, J ^[1]

---

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), Vol. 47:10; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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