Dynamical renormalization and universality in classical multifield cosmological models

Abstract

We study the scaling behavior of classical multifield cosmological models with complete scalar manifold $(\mathcal{M},\mathcal{G})$ and positive smooth scalar potential $\Phi$, introducing a dynamical renormalization group action which relates their UV and IR limits. We show that the RG flow of such models interpolates between a modification of the geodesic flow of $(\mathcal{M},\mathcal{G})$ (obtained in the UV limit) and the gradient flow of $(\mathcal{M},\mathcal{G},V)$ (obtained in the IR limit), where the classical effective potential $V$ is proportional to $\sqrt{2\Phi }$. Using this fact, we show that two-field models whose scalar manifold has constant Gaussian curvature equal to $-1$, $0$ or $1$ are infrared universal in the sense that they suffice to describe the first order IR approximants of cosmological orbits for all two-field models with positive smooth scalar potential.

55 pages, 2 figures; v2: minor corrections, reference added

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Cited by in corpus (4)

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• Constructing Viable Interacting Dark Matter and Dark Energy Models: A Dynamical Systems Approach
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