SL(2,R) model with two Hamiltonian constraints

Simple item page
dc.creatorMontesinos, Merced
dc.creatorRovelli, Carlo
dc.creatorThiemann, Thomas
dc.date1999-01-26
dc.date1999-07-16
dc.date.accessioned2026-07-07T11:34:26Z
dc.date.available2026-07-07T11:34:26Z
dc.descriptionWe describe a simple dynamical model characterized by the presence of two noncommuting Hamiltonian constraints. This feature mimics the constraint structure of general relativity, where there is one Hamiltonian constraint associated with each space point. We solve the classical and quantum dynamics of the model, which turns out to be governed by an SL(2,R) gauge symmetry, local in time. In classical theory, we solve the equations of motion, find a SO(2,2) algebra of Dirac observables, find the gauge transformations for the Lagrangian and canonical variables and for the Lagrange multipliers. In quantum theory, we find the physical states, the quantum observables, and the physical inner product, which is determined by the reality conditions. In addition, we construct the classical and quantum evolving constants of the system. The model illustrates how to describe physical gauge-invariant relative evolution when coordinate time evolution is a gauge.
dc.description9 pages, 1 figure, revised version, to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/gr-qc/9901073
dc.identifierhttp://arxiv.org/abs/gr-qc/9901073
dc.identifierPhys.Rev.D60:044009,1999
dc.identifierdoi:10.1103/PhysRevD.60.044009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198249
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleSL(2,R) model with two Hamiltonian constraints
dc.typetext

Files

Collections

arXiv