Gauge theory in de Sitter space-time from a holographic model

Abstract

Yang-Mills theory with flavor quarks in the dS${}_4$ is studied through the dual supergravity in the AdS${}_5\times S^5$ background with non-trivial dilaton and axion. The flavor quarks are introduced by embedding a probe D7 brane. We find that the dynamical properties of YM theory in the dS${}_4$ are similar to the case of the finite temperature theory given by the 5d AdS-Schwarzschild background. In the case of dS${}_4$, however, contrary to the finite temperature case, the gauge field condensate plays an important role on the dynamical properties of quarks. We also give the quark-antiquark potential and meson spectra to find possible quark-bound states. And we arrive at the conclusion that, while the quarks are not confined in the dS${}_4$, we could find stable meson states at very small cosmological constant as expected in the present universe. But there would be no hadrons at early universe as in the inflation era.

arXiv comment22 pages, 23 figures (.eps)

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• Fluctuation and dissipation in de Sitter space
• Holographic thermalization in Gauss-Bonnet gravity with de Sitter boundary
• Holographic (De)confinement Transitions in Cosmological Backgrounds
• Flavor quarks in AdS4 and gauge/gravity correspondence
• Baryons in the Sakai-Sugimoto model in the D0-D4 background
• Holographic Friedmann Equation and $\mathcal{N}=$4 SYM theory
• De Sitter Space in Gauge/Gravity Duality
• Holographic Confining Gauge theory and Response to Electric Field
• Toward a Gravity Dual of Glueball Inflation
• Ad$S_5$ with two boundaries and holography of $\mathcal{N}=$4 SYM theory
• Brane Viscous Cosmology in the Plasma Era
• Glueball instability and thermalization driven by dark radiation
• Chiral Symmetry of SYM theory in hyperbolic space at finite temperature
• Holographic Cosmology and Phase Transitions of SYM theory
• Tunneling in Quantum Cosmology and Holographic SYM theory