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2017

Noncommutative fields and the short-scale structure of spacetime

Arzano, Michele, Kowalski-Glikman, Jerzy

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There is a growing evidence that due to quantum gravity effects the effective spacetime dimensionality might change in the UV.

In this letter we investigate this hypothesis by using quantum fields to derive the UV behaviour of the static, two point sources potential.
We mimic quantum gravity effects by using non-commutative fields associated to a Lie group momentum space with a Planck mass curvature scale.
We find that the static potential becomes finite in the short-distance limit.

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