Asymptotics of Regulated Field Commutators for Einstein-Rosen Waves

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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9 figures, 19 pages in DIN A4 format. Accepted for publication in Journal of Mathematical Physics

Scientific paper

We discuss the asymptotic behavior of regulated field commutators for linearly polarized, cylindrically symmetric gravitational waves and the mathematical techniques needed for this analysis. We concentrate our attention on the effects brought about by the introduction of a physical cut-off in the study of the microcausality of the model and describe how the different physically relevant regimes are affected by its presence. Specifically we discuss how genuine quantum gravity effects can be disentangled from those originating in the introduction of a regulator.

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