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

A Carlini and M Martellini

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The authors calculate the one-loop approximation to the Euclidean quantum gravity coupled to a scalar field around the classical Carlini and Mijic (CM) wormhole solutions (1990). The main result is that the Euclidean partition functional ZEQG in the 'little wormhole' limit is real. Extension of the CM solutions with the inclusions of a bare cosmological constant to the case of a sphere S4 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, the authors recover Coleman's exp(exp(1/ gamma eff)) peak at the effective cosmological constant gamma eff=0, with no phase ambiguities in ZEQG.


PACS

04.60.Pp Loop quantum gravity, quantum geometry, spin foams

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

MSC

83F05 Cosmology

81Txx Quantum field theory; related classical field theories (See also 70Sxx)

81S40 Path integrals (See also 58D30)

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 3 (March 1992)



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