Titlebook: Quantum Gravity, Quantum Cosmology and Lorentzian Geometries; Giampiero Esposito Book 19921st edition Springer-Verlag Berlin Heidelberg 19

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Global Boundary Conditions and ζ(0) Value for the Massless Spin-1/2 Fieldre boundary. The corresponding ζ(0) value is obtained studying the Laplace transform of the heat equation for the squared Dirac operator, and finally deriving the asymptotic expansion of the inverse Laplace transform, i.e. the heat kernel. This squared operator arises from the study of the coupled s

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Choice of Boundary Conditions in One-Loop Quantum Cosmologythe PDF .(0). Namely, the PDF contribution to the prefactor due to the spin-3/2 field is proportional to .. (. being the three-sphere radius), which does not cancel .. due to the gravitational field subject to Dirichlet boundary conditions for the perturbed three-metric..We therefore study possible

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Ghost Fields and Gauge Modes in One-Loop Quantum Cosmology when expressed in terms of its physical degrees of freedom, the transverse-traceless modes. One can formally show that a suitable measure exists such that the gauge-invariant form of the path integral for the ground-state wave function is equal to the one expressed in terms of the physical degrees

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Local Boundary Conditions for the Weyl Spinoradd to the linearized Einstein action such that the linearized Einstein equations follow from requiring the action to be stationary. Thus we conclude that fixing the linearized electric curvature on .. does not lead to a well-posed classical boundary-value problem. This implies that the correspondin

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