Deconfinement Transition at High Isospin Chemical Potential and Low Temperature

Abstract

We consider QCD with two degenerate flavors of light quarks(up and down) at asymptotically high isospin chemical potential with zero baryon chemical potential and calculate for the first time a quantitative expression for the critical temperature of the deconfinement transition in this regime. At high isospin chemical potential and sufficiently low temperatures this theory becomes equivalent to a pure Yang-Mills theory and accordingly has a first order deconfinement phase transition. Although this was conjectured in a seminal paper by Son and Stephanov in the year 2001, the critical temperature of this deconfinement phase transition was not computed. This paper computes the energy scale associated with this transition as a function of the isospin chemical potential by relating the parameters of the equivalent Yang-Mills theory to those of the underlying theory. We also relate the equation of state in one strongly interacting regime of QCD namely at finite isospin density to that in pure Yang-Mills, with the latter being amenable to straightforward numerical calculation. Our results for the critical temperature of deconfinement transition can be compared with future lattice calculations.

Added corrections to the speed of Goldstone modes and rephrased abstract

References in corpus (5)

• Color superconductivity in dense quark matter
• The Phase Structure of the Polyakov--Quark-Meson Model
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• Signals of the QCD phase transition in core-collapse supernovae
• Neutrino signals from the formation of black hole: a probe of equation of state of dense matter

Cited by in corpus (24)

• QCD phase diagram for nonzero isospin-asymmetry
• Pion condensation and phase diagram in the Polyakov-loop quark-meson model
• Two-flavor chiral perturbation theory at nonzero isospin: Pion condensation at zero temperature
• QCD at finite isospin density: chiral perturbation theory confronts lattice data
• Cold QCD at finite isospin density: confronting effective models with recent lattice data
• Equation of state of imbalanced cold matter from chiral perturbation theory
• Isospin asymmetry in holographic baryonic matter
• High-Energy Phase Diagrams with Charge and Isospin Axes under Heavy-Ion Collision and Stellar Conditions
• Hot QCD at finite isospin density: confronting SU(3) Nambu-Jona-Lasinio model with recent lattice data
• Condensates and pressure of two-flavor chiral perturbation theory at nonzero isospin and temperature
• QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case
• Magnetic Vortex Lattices in Finite Isospin Chiral Perturbation Theory
• Pion and kaon condensation at zero temperature in three-flavor $\chi$PT at nonzero isospin and strange chemical potentials at next-to-leading order
• Vector meson condensation in a pion superfluid
• Perturbative thermodynamics at nonzero isospin density for cold QCD
• Enhanced contribution of the pairing gap to the QCD equation of state at large isospin chemical potential
• Electrical neutrality and $\beta$-equilibrium conditions in dense quark matter: generation of charged pion condensation by chiral imbalance
• A quarksonic matter at high isospin density
• Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models
• On the origin of the peak of the sound velocity for isospin imbalanced strongly interacting matter
• On the effective lagrangian at nonzero isospin chemical potential
• Phonon modes of magnetic vortex lattices in finite isospin chiral perturbation theory
• Meson Physics in Asymmetric Matter
• Thermal quarks and Polyakov loops in two-color dense QCD