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Limit cycles and quantum gravity

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arxiv 1205.4218 v1 pith:2IB777OY submitted 2012-05-18 hep-th gr-qc

Limit cycles and quantum gravity

classification hep-th gr-qc
keywords fixedgravityfindgroupinfraredlimitpointsquantum
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study renormalization group equations of quantum gravity in four dimensions. We find an ultraviolet fixed point in accordance with the asymptotic safety conjecture, and infrared fixed points corresponding to general relativity with positive, vanishing or negative cosmological constant. In a minisuperspace approximation, we additionally find a renormalization group limit cycle shielding the ultraviolet from the infrared fixed points. We discuss implications of this pattern for asymptotically safe gravity in the continuum and on the lattice.

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  1. Spectral Functions of Lorentzian Quantum Gravity

    hep-th 2026-06 unverdicted novelty 6.0

    Spectral functions for graviton and scalar graviton modes are derived in Lorentzian asymptotically safe quantum gravity via adapted FRG flow equations, yielding normalisable results consistent with infrared effective theory.