Boundary Operators in Euclidean Quantum Gravity

Details Boundary Operators in Euclidean Quantum Gravity Boundary Operators in Euclidean Quantum Gravity

1996-03-05

arxiv.org/abs/hep-th/9603021v2

Class.Quant.Grav. 13 (1996) 2361-2374

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, plain-tex. In this revised version, the analysis of the self-adjointness problem with Barvinsky boundary conditions

Scientific paper

10.1088/0264-9381/13/9/004

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 analyzed in detail. Last, 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.

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