Quark-Hadron Phase Transitions in Viscous Early Universe

Abstract

Based on hot big bang theory, the cosmological matter is conjectured to undergo QCD phase transition(s) to hadrons, when the universe was about $1-10\mu$s old. In the present work, we study the quark-hadron phase transition, by taking into account the effect of the bulk viscosity. We analyze the evolution of the quantities relevant for the physical description of the early universe, namely, the energy density $\rho$, temperature $T$, Hubble parameter $H$ and scale factor $a$ before, during and after the phase transition. To study the cosmological dynamics and the time evolution we use both analytical and numerical methods. By assuming that the phase transition may be described by an effective nucleation theory (prompt {\it first-order} phase transition), we also consider the case where the universe evolved through a mixed phase with a small initial supercooling and monotonically growing hadronic bubbles. The numerical estimation of the cosmological parameters, $a$ and $H$ for instance, makes it clear that the time evolution varies from phase to phase. As the QCD era turns to be fairly accessible in the high-energy experiments and the lattice QCD simulations, the QCD equation of state is very well defined. In light of this, we introduce a systematic study of the {\it cross-over} quark-hadron phase transition and an estimation for the time evolution of Hubble parameter.

arXiv comment27 pages, 17 figures, revtex style (To appear in Phys. Rev. D). arXiv admin note: text overlap with arXiv:gr-qc/0404045

References in corpus (55)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
• The PHOBOS Perspective on Discoveries at RHIC
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Foreground Emission
• The QCD phase diagram for small densities from imaginary chemical potential
• The QCD thermal phase transition in the presence of a small chemical potential
• The QCD Equation of State with almost Physical Quark Masses
• Equation of state and QCD transition at finite temperature
• Finite density QCD via imaginary chemical potential
• Quark Mass and Flavour Dependence of the QCD Phase Transition
• A new method to study lattice QCD at finite temperature and chemical potential
• Universal properties of bulk viscosity near the QCD phase transition
• Hadron Resonance Mass Spectrum and Lattice QCD Thermodynamics
• Thermodynamics at Non-Zero Baryon Number Density: A Comparison of Lattice and Hadron Resonance Gas Model Calculations
• Bulk viscosity of gauge theory plasma at strong coupling
• The Growth of Bubbles in Cosmological Phase Transitions
• Susceptibilities, the Specific Heat and a Cumulant in Two-Flavour QCD
• Pressure and non-linear susceptibilities in QCD at finite chemical potentials
• Equation of State for physical quark masses
• Phase structure and critical temperature of two-flavor QCD with a renormalization group improved gauge action and clover improved Wilson quark action
• The QCD phase diagram: A comparison of lattice and hadron resonance gas model calculations
• Supersonic Deflagrations in Cosmological Phase Transitions
• Nonlinear bulk viscosity and inflation
• Scaling Study of the Two-Flavor Chiral Phase Transition with the Kogut-Susskind Quark Action in Lattice QCD
• Out of Equilibrium Dynamics of an Inflationary Phase Transition
• On Bubble Growth and Droplet Decay in Cosmological Phase Transitions
• Quasi-Particle Description of Strongly Interacting Matter: Towards a Foundation
• Scaling of Pseudo-Critical Couplings in Two-Flavour QCD
• Heavy ion collisions and lattice QCD at finite baryon density
• Viscosities in the Gluon-Plasma within a Quasiparticle Model
• The finite temperature QCD using 2+1 flavors of domain wall fermions at N_t = 8
• Bulk viscosity of N=2* plasma
• Large nucleation distances from impurities in the cosmological quark-hadron transition
• Quasi-particle model of QGP - a revisit
• Stability of Cosmological Detonation Fronts
• EVAPORATION OF QUARK DROPS DURING THE COSMOLOGICAL Q-H TRANSITION
• Antiproton-to-Proton Ratios for ALICE Heavy-Ion Collisions
• Evaporation of cosmological quark drops and relativistic radiative transfer
• Possible Cosmological Implications of the Quark-Hadron Phase Transition
• Relics of the Cosmological QCD Phase Transition
• Bulk Viscosity and Relaxation Time of Causal Dissipative Relativistic Fluid Dynamics
• The QCD phase transition in the inhomogeneous Universe
• Quark-Antiquark Condensates in the Hadronic Phase
• A Big Bang Nucleosynthesis Likelihood Analysis of the Baryon-to-Photon Ratio and the Number of Light Particle Degrees of Freedom
• Viscous Quark-Gluon Plasma in the Early Universe
• Bulk and Shear Viscosity in Hagedorn Fluid
• Phase Space and Dynamical Fluctuations of Kaon--to--Pion Ratios
• The Hubble parameter in the early universe with viscous QCD matter and finite cosmological constant
• Hubble Parameter in QCD Universe for finite Bulk Viscosity
• Matter-Antimatter Asymmetry in the Large Hadron Collider
• Mean Field Effects In The Quark-Gluon Plasma
• Cosmological Consequences of Slow-Moving Bubbles in First-Order Phase Transitions
• Relics of cosmological quark-hadron phase transition
• On the chiral phase transition in hadronic matter

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• Quark-Hadron Phase Transition in DGP Brane Gravity with Bulk Scalar Field
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