Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-01-22
Class.Quant.Grav.9:629-640,1992
Physics
High Energy Physics
High Energy Physics - Theory
11 pages
Scientific paper
10.1088/0264-9381/9/3/006
We here calculate the one-loop approximation to the Euclidean Quantum Gravity coupled to a scalar field around the classical Carlini and Miji\'c wormhole solutions. The main result is that the Euclidean partition functional $Z_{EQG}$ in the ``little wormhole'' limit is real. Extension of the CM solutions with the inclusion of a bare cosmological constant to the case of a sphere $S^4$ can lead to the elimination of the destabilizing effects of the scalar modes of gravity against those of the matter. In particular, in the asymptotic region of a large 4-sphere, we recover the Coleman's $\exp \left (\exp \left ({1\over \lambda_{eff}}\right )\right )$ peak at the effective cosmological constant $\lambda_{eff}=0$, with no phase ambiguities in $Z_{EQG}$.
Carlini Alberto
Martellini Maurizio
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