Dynamical de Sitter phase and nontrivial holonomy in strongly coupled gauge theories in expanding Universe

Abstract

We discuss a new scenario for early cosmology when the inflationary de Sitter phase emerges dynamically. This genuine quantum effect occurs as a result of dynamics of the topologically nontrivial sectors in a strongly coupled QCD- like gauge theory in an expanding universe. We test these ideas by explicit computations in hyperbolic space ${\mathbb{H}}_{\kappa }^3\times {\mathbb{S}}_{{\kappa }^{-1}}^1$. We argue that the key element for this idea to work is the presence of nontrivial holonomy computed along ${\mathbb{S}}_{{\kappa }^{-1}}^1$. The effect is non-local in nature, non-analytical in coupling constant and can not be described in terms of any local propagating degree of freedom such as scalar inflaton field $\Phi (x)$. We discuss some profound phenomenological consequences of this scenario for inflationary cosmology. We also suggest to test these ideas in a tabletop experiment by measuring some specific corrections to the Casimir pressure in the Maxwell theory formulated on a topologically nontrivial manifold.

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References in corpus (17)

• Inflationary Cosmology
• Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence
• Self-tuning vacuum variable and cosmological constant
• Confining ensemble of dyons
• Vacuum Energy Sequestering: The Framework and Its Cosmological Consequences
• Zero-point quantum fluctuations and dark energy
• Vacuum models with a linear and a quadratic term in H: structure formation and number counts analysis
• From confinement to dark energy
• The cosmological constant as a manifestation of the conformal anomaly?
• Phase Transitions, theta Behavior and Instantons in QCD and its Holographic Model
• QCD Topology at Finite Temperature: Statistical Mechanics of Selfdual Dyons
• The Partonic Nature of Instantons
• Lattice QCD in curved spacetimes
• Hyperbolic calorons, monopoles, and instantons
• Cosmological perturbations in \bar{QCD}- inflation. Estimates confronting the observations, including BICEP2
• Topological order and Berry connection for the Maxwell Vacuum on a four-torus
• Dynamical Casimir Effect in a small compact manifold for the Maxwell vacuum

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