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Quantum Gravity Without Ghosts

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arxiv hep-th/9808163 v1 pith:JPGET3ZN submitted 1998-08-27 hep-th gr-qc

Quantum Gravity Without Ghosts

classification hep-th gr-qc
keywords fieldsequationsgivenhistoriesquantumspaceactionadapted
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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An outline is given of a recently discovered technique for building a quantum effective action that is completely independent of gauge-fixing choices and ghost determinants. One makes maximum use of the geometry and fibre-bundle structure of the space of field histories and introduces a set of nonlocal composite fields: the geodesic normal fields based on Vilkovisky's connection on the space of histories. The closed-time-path formalism of Schwinger, Bakshi, Mahantappa {\it et al} can be adapted for these fields, and a set of gauge-fixing-independent dynamical equations for their expectation values (starting from given initial conditions) can be computed. An obvious application for such equations is to the study of the formation and radiative decay of black holes, and to other back-reaction problems.

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  1. Relational path integral, effective actions and quantum frame covariance in gravity

    hep-th 2026-07 conditional novelty 7.0

    The gravitational path integral is reformulated with dynamical reference frames, producing gauge-invariant correlators, frame-dependent vacua, and effective actions, with sharpness of events becoming frame-relative.