HYM-flation: Yang-Mills cosmology with Horndeski coupling

Abstract

We propose new mechanism for inflation using classical SU(2) Yang-Mills (YM) homogeneous and isotropic field non-minimally coupled to gravity via Horndeski prescription. This is the unique generally and gauge covariant ghost-free YM theory with the curvature-dependent action leading to second-order gravity and Yang-Mills field equations. We show that its solution space contains de Sitter boundary to which the trajectories are attracted for some finite time, ensuring the robust inflation with a graceful exit. The theory can be generalized to include the Higgs field leading to two-steps inflationary scenario, in which the Planck-scale YM-generated inflation naturally prepares the desired initial conditions for the GUT-scale Higgs inflation.

13 pages, 3 figures

References in corpus (34)

• The Standard Model Higgs boson as the inflaton
• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• The Unity of Cosmological Attractors
• Gauge Fields and Inflation
• Ultra Slow-Roll Inflation and the non-Gaussianity Consistency Relation
• A universal attractor for inflation at strong coupling
• An Open Universe from Inflation
• Chromo-Natural Inflation: Natural inflation on a steep potential with classical non-Abelian gauge fields
• Exact cosmological solutions with nonminimal derivative coupling
• Higgs inflation still alive
• Non-Abelian Gauge Field Inflation
• Arbitrary p-form Galileons
• Inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills-$F(R)$ gravity and non-minimal vector-$F(R)$ gravity
• A formal introduction to Horndeski and Galileon theories and their generalizations
• Cosmological Attractors and Initial Conditions for Inflation
• Higgs inflation from Standard Model criticality
• Galileons from Lovelock actions
• Vector theories in cosmology
• Does Chaotic Mixing Facilitate Omega<1 Inflation?
• Non-Abelian Born--Infeld cosmology
• Inflation without Selfreproduction
• Galileons with Gauge Symmetries
• Inflation, Symmetry, and B-Modes
• Dark energy as a fixed point of the Einstein Yang-Mills Higgs Equations
• Non-Abelian Einstein-Born-Infeld-Dilaton Cosmology
• Decoherence of Friedmann-Robertson-Walker Geometries in the Presence of Massive Vector Fields with U(1) or SO(3) Global Symmetries
• Cosmological consequences of classical flavor-space locked gauge field radiation
• Effective metrics in the non-minimal Einstein-Yang-Mills-Higgs theory
• Chiral Imprint of a Cosmic Gauge Field on Primordial Gravitational Waves
• Yang-Mills condensates in cosmology
• Nonminimal isotropic cosmological model with Yang-Mills and Higgs fields
• Continuous Family of Einstein-Yang-Mills Wormholes
• Early and Late-time Cosmic Acceleration in Non-minimal Yang-Mills-$f(G)$ Gravity
• Mathematical Issues in Eternal Inflation

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• A systematic approach to generalisations of General Relativity and their cosmological implications
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• Generalized SU(2) Proca Theory
• Higgsed Gauge-flation
• Non-Abelian $S$-term dark energy and inflation
• Scalar and vector Galileons
• Constant-roll inflation in the generalized SU(2) Proca theory
• Non-trivial gravitational waves and structure formation phenomenology from dark energy
• Instabilities in Horndeski Yang-Mills inflation
• Bounds on the Horndeski Gauge-Gravity Coupling
• Inflation driven by massive vector fields with derivative self-interactions
• Comparing metric and Palatini approaches to vector Horndeski theory
• Magnetic and Electric Black Holes in the Vector-Tensor Horndeski Theory
• Inflation with mixed helicities and its observational imprint on CMB