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.

arXiv comment55 pages, 2 figures; v2: minor corrections, reference added

References in corpus (18)

• On the Geometry of the String Landscape and the Swampland
• A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation
• Scalar perturbations during multiple-field slow-roll inflation
• Influence of heavy modes on perturbations in multiple field inflation
• A covariant approach to general field space metric in multi-field inflation
• Non-Gaussianity in Two-Field Inflation
• Who You Gonna Call? Runaway Ghosts, Higher Derivatives and Time-Dependence in EFTs
• Generalized two-field $\alpha$-attractor models from geometrically finite hyperbolic surfaces
• Generalized two-field $\alpha$-attractors from the hyperbolic triply-punctured sphere
• Hidden symmetries of two-field cosmological models
• Generalized $\alpha$-attractor models from elementary hyperbolic surfaces
• New Anisotropic Exact Solution in Multifield Cosmology
• Cosmological flows on hyperbolic surfaces
• Hesse manifolds and Hessian symmetries of multifield cosmological models
• Testing Two-Field Inflation
• Normal Forms of $C^{\infty }$ Vector Fields based on the Renormalization Group
• Multiscalar field cosmological model and possible solutions using Noether symmetry approach
• Noether Symmetries of Two-Field Cosmological Models

Cited by in corpus (4)

• Dynamical consistency conditions for rapid turn inflation
• Constructing Viable Interacting Dark Matter and Dark Energy Models: A Dynamical Systems Approach
• On the slow roll expansion of one-field cosmological models
• Infrared behavior in tame hyperbolizable two-field models