MG11 
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Abstract

Self sustained traversable wormholes?

We compute the graviton one-loop contribution to a classical energy in a traversable wormhole background. Such a contribution is evaluated by means of a variational approach with Gaussian trial wavefunctionals. A zeta function regularization is involved to handle divergences. A renormalization procedure is introduced and the finite one-loop energy is considered as a self-consistent source for the traversable wormhole.

Multi gravity and space time foam

A mutli gravity model is here considered to approach the cosmological constant problem. The one loop effective action in a large N Schwarzschild wormhole background is here used to compute the cosmological constant. It is shown that the expression of the Zero Point Energy (ZPE) is equivalent to the one computed by means of a variational approach. To handle with ZPE divergences, we use the zeta function regularization. The regularization is closely related to the subtraction procedure appearing in the computation of Casimir energy in a curved background. A renormalization procedure is introduced to remove the infinities together with a renormalization group equation.