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arXiv · gr-qc/9506092

Mixed Boundary Conditions in Euclidean Quantum Gravity

Giampiero Esposito·Alexander Yu. Kamenshchik
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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 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 the recent literature.

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Giampiero Esposito, Alexander Yu. Kamenshchik. 1995-07-02. Mixed Boundary Conditions in Euclidean Quantum Gravity. https://doi.org/10.1088/0264-9381%2F12%2F11%2F004

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