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arXiv · hep-th/9201043

The phase of scalar field wormholes at one loop in the path integral formulation for Euclidean quantum gravity

Alberto Carlini·Maurizio Martellini
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Abstract

We here calculate the one-loop approximation to the Euclidean Quantum Gravity coupled to a scalar field around the classical Carlini and Mijić 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 $\exp \left (\exp \left ({1\over λ_{eff}}\right )\right )$ peak at the effective cosmological constant $λ_{eff}=0$, with no phase ambiguities in $Z_{EQG}$.

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Alberto Carlini, Maurizio Martellini. 1992-01-22. The phase of scalar field wormholes at one loop in the path integral formulation for Euclidean quantum gravity. https://doi.org/10.1088/0264-9381%2F9%2F3%2F006

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