Fractal geometry of higher derivative gravity

6533b870fe1ef96bd12cf1de

RESEARCH PRODUCT

Fractal geometry of higher derivative gravity

Carlo Pagani Carlo Pagani Omar Zanusso Maximilian Becker

subject

Gravity (chemistry)geometry operator: geometrical General Physics and Astronomy FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc)derivative: high Quantum spacetime Gravitation and Astrophysics 01 natural sciences Fractal dimension General Relativity and Quantum Cosmology Gravitation General Relativity and Quantum Cosmology Fractal 0103 physical sciences fractal: dimension 010306 general physics Scaling Effective action Physics Mathematical analysis scaling tensor: Weyl symmetry: Weyl effective action space-time quantum gravity gravitation [PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]Quantum gravity operator: composite

description

We determine the scaling properties of geometric operators such as lengths, areas, and volumes in models of higher derivative quantum gravity by renormalizing appropriate composite operators. We use these results to deduce the fractal dimensions of such hypersurfaces embedded in a quantum spacetime at very small distances.

year	journal	country	edition	language
2019-12-04

https://hal.archives-ouvertes.fr/hal-02393505

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