SO(2,1)-invariant quantization of the Liouville theory

Journal Article · Tue Nov 15 04:00:00 EST 1983 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.28.2583· OSTI ID:5576771

D'Hoker, E; Freedman, D Z; Jackiw, R

The recently proposed SO(2,1)-invariant quantization of the Liouville theory is elaborated. We develop a renormalized perturbation expansion which preserves this symmetry to all orders, but spontaneously breaks Poincare invariance. Some Green's functions and scattering amplitudes are calculated in low perturbative order, and it is established that the S matrix is trivial in the tree approximation. Whether this is also true of the complete S matrix remains an open question.

• Research Organization: Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
• OSTI ID: 5576771
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 28:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
LIE GROUPS
LIOUVILLE THEOREM
MATRICES
PERTURBATION THEORY
POINCARE GROUPS
PROPAGATOR
QUANTIZATION
RENORMALIZATION
S MATRIX
SCATTERING AMPLITUDES
SO GROUPS
SYMMETRY GROUPS