Cosmological perturbations in \bar{QCD}- inflation. Estimates confronting the observations, including BICEP2

Abstract

We discuss a new scenario for early cosmology, when inflationary de Sitter phase dynamically emergent. This genuine quantum effect occurs as a result of dynamics of the topologically nontrivial sectors in a (conjectured) strongly coupled QCD- like gauge theory with scale ${\Lambda }_{\overline{\mathrm{QCD}}}\sim 10^{17}$ GeV in expanding universe. Inflaton in this $\overline{\mathrm{QCD}}$- inflation framework is an auxiliary non-propagating field, similar to an effective field known to emerge in topologically ordered condensed matter systems. Number of e-folds in the $\overline{\mathrm{QCD}}$-inflation framework is determined by the gauge coupling constant at the moment of inflation, and estimated as $N_{\inf }\sim {\alpha }^{-2}(H_0)\sim 10^2$. We analyze the equation of state in this framework at the end of inflation in terms of the gauge dynamics and confront our estimates with observations. We make predictions for the tensor tilt, $n_t\simeq -0.02$, the running of the tensor tilt ${\alpha }_t=\partial n_t/\partial \ln k\sim {\alpha }^4(H_0)\sim 10^{-4}$ and the running for the spectral index ${\alpha }_s=\partial n_s/\partial \ln k\sim {\alpha }^4(H_0)\sim 10^{-4}$ in terms of the same gauge coupling constant $\alpha (H_0)$, which is fixed in our framework by recent BICEP2 measurements of the tensor fraction $r\simeq 0.2$.

arXiv commentNew refs, including some lattice studies, supporting the linear dependence on Hubble constant "H". Few new comments emphasizing the importance of a non-trivial holonomy. Final version to appear in Phys Rev. D

References in corpus (12)

• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly
• Cosmological constant and vacuum energy: old and new ideas
• Chiral Plasma Instabilities
• Topological Susceptibility and Contact Term in QCD. A Toy Model
• QCD as a topologically ordered system
• Topological Casimir effect in Maxwell Electrodynamics on a Compact Manifold
• On quantifying and resolving the BICEP2/Planck tension over gravitational waves
• Inflaton as an auxiliary topological field in a QCD-like system
• Local P Violation Effects and Thermalization in QCD: Views from Quantum Field Theory and Holography
• P odd fluctuations and Long Range Order in Heavy Ion Collisions. Deformed QCD as a Toy Model
• Maxwell Theory on a Compact Manifold as a Topologically Ordered System

Cited by in corpus (10)

• Darkness without dark matter and energy -- generalized unimodular gravity
• Lattice QCD in curved spacetimes
• Dynamical de Sitter phase and nontrivial holonomy in strongly coupled gauge theories in expanding Universe
• Topological Inflation
• Quantum Yang--Mills Dark Energy
• Dynamical Casimir Effect in a small compact manifold for the Maxwell vacuum
• Natural inflation, strong dynamics, and the role of generalized anomalies
• Topological Casimir effect in a quantum LC circuit: real-time dynamics
• Cosmological Magnetic Field and Dark Energy as two sides of the same coin
• Cosmology from Strong Interactions