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***NSBL-QF-016 Consistent Cutoff in Quantum Gravity**

**Abstract**

The development of covariant quantum gravity in
at spacetime demands, for the sake of consistency, that any vacuum (or cosmological constant) terms that are generated from loop contributions must vanish. This consistency condition enables us, in the framework of the effective action with ultraviolet cutoff, to relate the cutoff parameter to the gravitational coupling, order by order in the perturbative scheme. We develop the formalism of covariant quantum gravity that enables us to compute the vacuum contributions up to the second
loop order, dealing with the system describing the self-interactions of virtual gravitons, together with scalar and vector fields. We show how the vanishing of the resulting vacuum contributions gives a relation between the cutoff and the gravitational coupling. In a fundamental theory unifying gravity and the other interactions, this approach offers an ultimate solution to the problems of quantum field divergences.

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nazirbaaklini@yahoo.com **