Two approaches that prove divergence free nature of non-local gravity

Super-accelerating bouncing cosmology in asymptotically free non-local gravity

Recently, evidence has been collected that a class of gravitational theories with certain non-local operators is renormalizable. We consider one such model which, at the linear perturbative level, reproduces the effective non-local action for the light modes of bosonic closed string-field theory. Using the property of asymptotic freedom in the ultraviolet and fixing the classical behavior of th...

Non-local Properties in Euclidean Quantum Gravity Non-local Properties in Euclidean Quantum Gravity

In the one-loop approximation for Euclidean quantum gravity, the boundary conditions which are completely invariant under gauge transformations of metric perturbations involve both normal and tangential derivatives of the metric perturbations h 00 and h 0i , while the h ij perturbations and the whole ghost one-form are set to zero at the boundary. The corresponding one-loop divergency for pure ...

Non-local Properties in Euclidean Quantum Gravity

In the one-loop approximation for Euclidean quantum gravity, the boundary conditions which are completely invariant under gauge transformations of metric perturbations cannot be written in terms of complementary projection operators. By contrast, they express the h00 and h0i perturbations at the boundary as integrals at the boundary of the action of a set of di erential operators on metric pert...

Exceptions That Prove the Rule

“The exception that proves the rule...” This often-misunderstood English language idiom, at least in its “loose rhetorical sense” [1], is highly applicable to the transmission from providers infected with blood-borne pathogens to their patients (ie, the rarity of these events helps characterize and define the miniscule risk for these transmissions in the practice of modern medicine). Decades of...

Non-Perturbative Two-Dimensional Quantum Gravity, Again