A New Spectral Cancellation in Quantum Gravity
| dc.creator | Esposito, Giampiero | |
| dc.creator | Fucci, Guglielmo | |
| dc.creator | Kamenshchik, Alexander Yu. | |
| dc.creator | Kirsten, Klaus | |
| dc.date | 2005-06-27 | |
| dc.date | 2006-01-03 | |
| dc.date.accessioned | 2026-07-07T06:38:30Z | |
| dc.date.available | 2026-07-07T06:38:30Z | |
| dc.description | A general method exists for studying Abelian and non-Abelian gauge theories, as well as Euclidean quantum gravity, at one-loop level on manifolds with boundary. In the latter case, boundary conditions on metric perturbations h can be chosen to be completely invariant under infinitesimal diffeomorphisms, to preserve the invariance group of the theory and BRST symmetry. In the de Donder gauge, however, the resulting boundary-value problem for the Laplace type operator acting on h is known to be self-adjoint but not strongly elliptic. The present paper shows that, on the Euclidean four-ball, only the scalar part of perturbative modes for quantum gravity is affected by the lack of strong ellipticity. Interestingly, three sectors of the scalar-perturbation problem remain elliptic, while lack of strong ellipticity is confined to the remaining fourth sector. The integral representation of the resulting zeta-function asymptotics on the Euclidean four-ball is also obtained; this remains regular at the origin by virtue of a peculiar spectral identity obtained by the authors. There is therefore encouraging evidence in favour of the zeta(0) value with fully diff-invariant boundary conditions remaining well defined, at least on the four-ball, although severe technical obstructions remain in general. | |
| dc.description | 26 pages, Latex file with Latex macros. In the final version, style of References has been further improved | |
| dc.identifier | https://arxiv.org/abs/hep-th/0506223 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0506223 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100758 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A New Spectral Cancellation in Quantum Gravity | |
| dc.type | text |