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Cosmological constant and Euclidean space from nonperturbative quantum torsion. (English) Zbl 1308.83063

Summary: Heisenberg’s nonperturbative quantization technique is applied to the nonperturbative quantization of gravity. An infinite set of equations for all Green’s functions is obtained. An approximation is considered where: (a) the metric remains as a classical field; (b) the affine connection can be decomposed into classical and quantum parts; (c) the classical part of the affine connection is the Christoffel symbols; (d) the quantum part is the torsion. Using a scalar and vector fields approximation it is shown that nonperturbative quantum effects give rise to a cosmological constant and an Euclidean solution.

MSC:

83C45 Quantization of the gravitational field
81T99 Quantum field theory; related classical field theories
81V17 Gravitational interaction in quantum theory
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References:

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