Quantum Dynamics of the Polarized Gowdy Model
| dc.creator | Torre, C. G. | |
| dc.date | 2002-06-27 | |
| dc.date | 2002-06-28 | |
| dc.date.accessioned | 2026-07-07T12:45:55Z | |
| dc.date.available | 2026-07-07T12:45:55Z | |
| dc.description | The polarized Gowdy ${\bf T}^3$ vacuum spacetimes are characterized, modulo gauge, by a ``point particle'' degree of freedom and a function $ϕ$ that satisfies a linear field equation and a non-linear constraint. The quantum Gowdy model has been defined by using a representation for $ϕ$ on a Fock space $\cal F$. Using this quantum model, it has recently been shown that the dynamical evolution determined by the linear field equation for $ϕ$ is not unitarily implemented on $\cal F$. In this paper: (1) We derive the classical and quantum model using the ``covariant phase space'' formalism. (2) We show that time evolution is not unitarily implemented even on the physical Hilbert space of states ${\cal H} \subset {\cal F}$ defined by the quantum constraint. (3) We show that the spatially smeared canonical coordinates and momenta as well as the time-dependent Hamiltonian for $ϕ$ are well-defined, self-adjoint operators for all time, admitting the usual probability interpretation despite the lack of unitary dynamics. | |
| dc.description | 24 pages, some typos corrected | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0206083 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0206083 | |
| dc.identifier | Phys.Rev.D66:084017,2002 | |
| dc.identifier | doi:10.1103/PhysRevD.66.084017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221208 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | Quantum Dynamics of the Polarized Gowdy Model | |
| dc.type | text |