The basis of nonlocal curvature invariants in quantum gravity theory

Abstract

A complete basis of nonlocal invariants in quantum gravity theory is built to third order in spacetime curvature and matter-field strengths. The nonlocal identities are obtained which reduce this basis for manifolds with dimensionality $2\omega <6$. The present results are used in heat-kernel theory, theory of gauge fields and serve as a basis for the model-independent approach to quantum gravity and, in particular, for the study of nonlocal vacuum effects in the gravitational collapse problem.

28 pages, REVTeX, Alberta Thy 14-94

References in corpus (1)

• Asymptotic behaviours of the heat kernel in covariant perturbation theory

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