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arXiv · 2211.05508

Scaling solutions for asymptotically free quantum gravity

Saswato Sen·Christof Wetterich·Masatoshi Yamada
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Abstract

We compute scaling solutions of functional flow equations for quantum gravity in a general truncation with up to four derivatives of the metric. They connect the asymptotically free ultraviolet fixed point, which is accessible to perturbation theory, to the non-perturbative infrared region. The existence of such scaling solutions is necessary for a renormalizable quantum field theory of gravity. If the proposed scaling solution is confirmed beyond our approximations asymptotic freedom is a viable alternative to asymptotic safety for quantum gravity.

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Saswato Sen, Christof Wetterich, Masatoshi Yamada. 2022-11-10. Scaling solutions for asymptotically free quantum gravity. https://doi.org/10.1007/jhep02(2023)054

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