Ivan G Avramidi et al 1996 Class. Quantum Grav. 13 2361 doi:10.1088/0264-9381/13/9/004
Boundary operators in Euclidean quantum gravity
Ivan G Avramidi
, Giampiero Esposito
,§ and Alexander Yu Kamenshchik||
Gauge-invariant boundary conditions in Euclidean quantum gravity can be obtained by setting to zero at the boundary the spatial components of metric perturbations, and a suitable class of gauge-averaging functionals. This paper shows that, on choosing the de Donder functional, the resulting boundary operator involves projection operators jointly with a nilpotent operator. Moreover, the elliptic operator acting on metric perturbations is symmetric. Other choices of mixed boundary conditions, for which the normal components of metric perturbations can be set to zero at the boundary, are then analysed in detail. Lastly, the evaluation of the 1-loop divergence in the axial gauge for gravity is obtained. Interestingly, such a divergence turns out to coincide with the one resulting from transverse-traceless perturbations.
- PACS
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04.25.Nx Post-Newtonian approximation; perturbation theory; related approximations
- MSC
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81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
47Sxx Other (nonclassical) types of operator theory (See also 46Sxx)
- Subjects
- Dates
-
Issue 9 (September 1996)
Received 8 March 1996, in final form 4 June 1996
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Boundary operators in Euclidean quantum gravity
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