2D $R^2$ gravity in weak coupling limit

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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Accepted for publication in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2004.05.045

2D $R^2$ quantum gravity in infinitely large invariant volume is considered.
In weak coupling limit the dynamics is reduced to quantum mechanics of a single
degree of freedom. The correspondent two - point Green function is calculated
explicitly in Gaussian approximation.

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