Specific choices of form factors in ghost-free infinite derivative gravity cancel all one-loop logarithmic UV divergences except the Gauss-Bonnet term and a surface term.
Renormalization group in super-renormalizable quantum gravity
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
One of the main advantages of super-renormalizable higher derivative quantum gravity models is the possibility to derive exact beta functions, by making perturbative one-loop calculations. We perform such a calculation for the Newton constant by using the Barvinsky-Vilkovisky trace technology. The result is well-defined in a large class of models of gravity in the sense that the renormalization group beta functions do not depend on the gauge-fixing condition. Finally, we discuss the possibility to apply the results to a large class of nonlocal gravitational theories which are free of massive ghost-like states at the tree-level.
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UNVERDICTED 3representative citing papers
FeynGrav 4.0 adds a finite BRST ghost-graviton interaction set for GR and quadratic gravity plus Cheung-Remmen polynomial variables that also yield finite rules.
Higher-order curvature operators like R□R add new poles and shift existing ones in the graviton propagator, with a method to correctly derive the Einstein frame action illustrated for f(R) gravity.
citing papers explorer
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Cancellation of UV divergences in ghost-free infinite derivative gravity
Specific choices of form factors in ghost-free infinite derivative gravity cancel all one-loop logarithmic UV divergences except the Gauss-Bonnet term and a surface term.
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FeynGrav 4.0
FeynGrav 4.0 adds a finite BRST ghost-graviton interaction set for GR and quadratic gravity plus Cheung-Remmen polynomial variables that also yield finite rules.
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The Spectrum of Quantum Gravity
Higher-order curvature operators like R□R add new poles and shift existing ones in the graviton propagator, with a method to correctly derive the Einstein frame action illustrated for f(R) gravity.