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Unfinished Business in A Nonlinear Sigma Model on de Sitter Background

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arxiv 2302.11528 v2 pith:BGKDCWFW submitted 2023-02-22 gr-qc hep-th

R. P. Woodard , B. Yesilyurt This is my paper · ORCID
classification gr-qchep-th
keywords backgroundlogarithmsloopmodelsnonlinearsamesigmasitter
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Nonlinear sigma models on de Sitter background possess the same kind of derivative interactions as gravity, and show the same sorts of large spacetime logarithms in correlation functions and solutions to the effective field equations. It was recently demonstrated that these logarithms can be resummed by combining a variant of Starobinsky's stochastic formalism with a variant of the renormalization group. This work considers one of these models and completes two pieces of analysis which were left unfinished: the evolution of the background at two loop order and the one loop beta function.

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Cited by 1 Pith paper

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  1. Resummations for Inflationary Quantum Gravity

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    Secular logarithms from inflationary graviton loops can be resummed by combining a modified stochastic formalism with a modified renormalization group, though the pure-gravity sector remains incomplete.

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