The quantum theory of a free particle on a portion of two-dimensional Euclidean space bounded by a circle and subject to non-local boundary conditions gives rise to bulk and surface states. Starting from this well known property, a counterpart for gravity is here considered. In particular, if spatial components of metric perturbations are set to zero at the boundary, invariance of the full set of boundary conditions under infinitesimal diffeomorphisms is compatible with non-local boundary conditions on normal components of metric perturbations if and only if both the gauge-field operator and the ghost operator are pseudo-differential operators in one-loop quantum gravity.
Towards a new formulation of quantum gravity / Esposito, G. - In: GRAVITATION & COSMOLOGY. - ISSN 0202-2893. - 6:(2000), pp. S43-S46. (Intervento presentato al convegno COSMION 99 tenutosi a Moscow nel December 1999).
Towards a new formulation of quantum gravity
ESPOSITO GPrimo
2000
Abstract
The quantum theory of a free particle on a portion of two-dimensional Euclidean space bounded by a circle and subject to non-local boundary conditions gives rise to bulk and surface states. Starting from this well known property, a counterpart for gravity is here considered. In particular, if spatial components of metric perturbations are set to zero at the boundary, invariance of the full set of boundary conditions under infinitesimal diffeomorphisms is compatible with non-local boundary conditions on normal components of metric perturbations if and only if both the gauge-field operator and the ghost operator are pseudo-differential operators in one-loop quantum gravity.File | Dimensione | Formato | |
---|---|---|---|
9809200v3.pdf
non disponibili
Dimensione
96.59 kB
Formato
Adobe PDF
|
96.59 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.