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Journal of High Energy Physics

, 2016:160

First Online: 25 November 2016Received: 15 October 2016Revised: 19 November 2016Accepted: 22 November 2016 Abstract

In single-metric approximations to the exact renormalization group RG for quantum gravity, it has been not been clear how to treat the large curvature domain beyond the point where the effective cutoff scale k is less than the lowest eigenvalue of the appropriate modified Laplacian. We explain why this puzzle arises from background dependence, resulting in Wilsonian RG concepts being inapplicable. We show that when properly formulated over an ensemble of backgrounds, the Wilsonian RG can be restored. This in turn implies that solutions should be smooth and well defined no matter how large the curvature is taken. Even for the standard single-metric type approximation schemes, this construction can be rigorously derived by imposing a modified Ward identity mWI corresponding to rescaling the background metric by a constant factor. However compatibility in this approximation requires the space-time dimension to be six. Solving the mWI and flow equation simultaneously, new variables are then derived that are independent of overall background scale.

KeywordsModels of Quantum Gravity Renormalization Group Nonperturbative Effects ArXiv ePrint: 1610.03081

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Autor: Tim R. Morris

Fuente: https://link.springer.com/



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