Evidence for asymptotic safety from dimensional reduction in causal dynamical triangulations

A bstract We calculate the spectral dimension for a nonperturbative lattice approach to quantum gravity, known as causal dynamical triangulations (CDT), showing that the dimension of spacetime smoothly decreases from ∼ 4 on large distance scales to ∼ 3/2 on small distance scales. This novel result m...

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Veröffentlicht in:The journal of high energy physics 2015-03, Vol.2015 (3), p.1, Article 151
Hauptverfasser: Coumbe, D. N., Jurkiewicz, J.
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description A bstract We calculate the spectral dimension for a nonperturbative lattice approach to quantum gravity, known as causal dynamical triangulations (CDT), showing that the dimension of spacetime smoothly decreases from ∼ 4 on large distance scales to ∼ 3/2 on small distance scales. This novel result may provide a possible resolution to a long-standing argument against the asymptotic safety scenario. A method for determining the relative lattice spacing within the physical phase of the CDT parameter space is also outlined, which might prove useful when studying renormalization group flow in models of lattice quantum gravity.
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subjects Classical and Quantum Gravitation
Elementary Particles
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
title Evidence for asymptotic safety from dimensional reduction in causal dynamical triangulations
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