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arXiv · 2409.12003

Leading Logarithm Quantum Gravity

S. P. Miao·N. C. Tsamis·R. P. Woodard
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Abstract

The continual production of long wavelength gravitons during primordial inflation endows graviton loop corrections with secular growth factors. During a prolonged period of inflation these factors eventually overwhelm the small loop-counting parameter of $G H^2$, causing perturbation theory to break down. A technique was recently developed for summing the leading secular effects at each order in non-linear sigma models, which possess the same kind of derivative interactions as gravity. This technique combines a variant of Starobinsky's stochastic formalism with a variant of the renormalization group. We generalize the new technique to quantum gravity, resulting in a Langevin equation in which secular changes in gravitational phenomena are driven by stochastic fluctuations of the graviton field.

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S. P. Miao, N. C. Tsamis, R. P. Woodard. 2024-09-18. Leading Logarithm Quantum Gravity. https://arxiv.org/abs/2409.12003

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