At quadratic order in asymptotically safe gravity, the graviton propagator has a single pole at q²=0 with positive residue, no ghost poles, and yields a regular Newtonian potential at r=0.
Scaling Solutions of Matter Form Factors in Asymptotically Safe Quantum Gravity
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abstract
We investigate the renormalization group flow of a gravity--matter system in which a scalar field is minimally coupled to Einstein gravity and its kinetic term is given by a scale-dependent form factor $f_\Lambda(-\Box)$. Employing the Wilsonian proper-time flow equation, we derive a closed integro-differential equation that encodes the dependence of the form factor on the UV cutoff $\Lambda$. We solve the resulting fixed-point problem with a pseudospectral discretization and find a non-trivial fixed point for which $f_\ast(-\Box)$ departs from the canonical $-\Box$ behavior. Linearizing the flow about this solution yields a discrete spectrum of perturbations and a corresponding set of critical exponents, indicating a non-trivial scaling structure in this non-local sector compatible with asymptotic safety. We also observe that the form factor becomes local once the UV cutoff is removed, suggesting that the bare action associated with this fixed point is local in the scalar two-point sector.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Asymptotically safe gravitational form factors are obtained by integrating the proper-time flow to k=0; finite cutoff-independent results with 1/q² UV decay require selecting the non-Gaussian fixed point as UV boundary condition.
citing papers explorer
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The Graviton Propagator in Asymptotically Safe Gravity with Non-Local Form Factors
At quadratic order in asymptotically safe gravity, the graviton propagator has a single pole at q²=0 with positive residue, no ghost poles, and yields a regular Newtonian potential at r=0.
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Asymptotically Safe Gravitational Form Factors from the Proper-Time Flow Equation
Asymptotically safe gravitational form factors are obtained by integrating the proper-time flow to k=0; finite cutoff-independent results with 1/q² UV decay require selecting the non-Gaussian fixed point as UV boundary condition.