This paper studies a new set of mixed boundary conditions in Euclidean quantum gravity. These involve, in particular, Robin boundary conditions on the perturbed 3-metric and hence lead, by gauge invariance, to Robin conditions on the whole ghost 1-form. The corresponding trace anomaly is evaluated in the case of a flat Euclidean 4-space bounded by a 3-sphere. In general, this anomaly differs from the ones resulting from other local or non-local boundary conditions studied in recent literature.
Mixed boundary conditions in Euclidean quantum gravity / Esposito, G; KAMENSHCHIK A., Yu. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - 12:11(1995), pp. 2715-2722. [10.1088/0264-9381/12/11/004]
Mixed boundary conditions in Euclidean quantum gravity
ESPOSITO GPrimo
;
1995
Abstract
This paper studies a new set of mixed boundary conditions in Euclidean quantum gravity. These involve, in particular, Robin boundary conditions on the perturbed 3-metric and hence lead, by gauge invariance, to Robin conditions on the whole ghost 1-form. The corresponding trace anomaly is evaluated in the case of a flat Euclidean 4-space bounded by a 3-sphere. In general, this anomaly differs from the ones resulting from other local or non-local boundary conditions studied in recent literature.| File | Dimensione | Formato | |
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