6533b856fe1ef96bd12b2546
RESEARCH PRODUCT
Covariant phase space quantization of the Jackiw-Teitelboim model of two-dimensional gravity
Miguel NavarroMiguel NavarroJosé Navarro-salasVictor AldayaVictor Aldayasubject
PhysicsNuclear and High Energy PhysicsHilbert spaceCotangent spaceSpace (mathematics)symbols.namesakeConjugacy classPhase spaceQuantum mechanicssymbolsCotangent bundlePhase space formulationCovariant transformationMathematical physicsdescription
Abstract On the basis of the covariant phase space formulation of field theory we analyze the Jackiw-Teitelboim model of two-dimensional gravity on a cylinder. We compute explicitly the symplectic structure showing that the (reduced) phase space is the cotangent bundle of the space of conjugacy classes of the PSL(2, R ) group. This makes it possible to quantize the theory exactly. The Hilbert space is given by the character functions of the PSL (2, R ) group. As a byproduct, this implies the complete equivalence with the PSL (2, R )-topological gravity model.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1992-10-01 | Physics Letters B |