Lattice QCD at non-zero isospin chemical potential

Abstract

Quantum chromodynamics (QCD) at non-zero isospin chemical potential is studied in a canonical approach by analyzing systems of fixed isospin number density. To construct these systems, we develop a range of new algorithms for performing the factorially large numbers of Wick contractions required in multi-hadron systems. We then use these methods to study systems with the quantum numbers of up to 72 ${\pi }^{+}$'s on three ensembles of gauge configurations with spatial extents $L\sim$ 2.0, 2.5 and 3.0 fm, and light quark masses corresponding to a pion mass of {390 MeV}. The ground state energies of these systems are extracted and the volume dependence of these energies is utilized to determine the two- and three- body interactions amongst ${\pi }^{+}$'s. The systems studied correspond to isospin densities of up to ${\rho }_I\sim 9{\mathrm{fm}}^{-3}$ and probe isospin chemical potentials, ${\mu }_I$, in the range $m_π \lsim μ_I\ \lsim 4.5\ m_π$, allowing us to investigate aspects of the QCD phase diagram at low temperature and for varying isospin chemical potential. By studying the energy density of the system, we provide numerical evidence for the conjectured transition of the system to a Bose-Einstein condensed phase at $μ_I\ \gsim m_π$.

32 pages, 22 figures

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Cited by in corpus (63)

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• Meson condensation
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• Unified contraction algorithm for multi-baryon correlators on the lattice
• Dark Nuclei II: Nuclear Spectroscopy in Two-Colour QCD
• Scrutinizing the pion condensed phase
• Nuclear correlation functions in lattice QCD
• Three-flavor Nambu--Jona-Lasinio model at finite isospin chemical potential
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• Equation of state and speed of sound of isospin-asymmetric QCD on the lattice
• The energy-dependent ${\pi }^{+}{\pi }^{+}{\pi }^{+}$ scattering amplitude from QCD
• Lattice methods for strongly interacting many-body systems
• Three-loop hard-thermal-loop perturbation theory thermodynamics at finite temperature and finite baryonic and isospin chemical potential
• Charged multi-hadron systems in lattice QCD+QED
• Reliability of Taylor expansions in QCD
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• Equation of state of imbalanced cold matter from chiral perturbation theory
• Isospin asymmetry in holographic baryonic matter
• Deconfinement Transition at High Isospin Chemical Potential and Low Temperature
• Pion crystals hosting topologically stable baryons
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• Meson Spectral Functions at Finite Temperature and Isospin Density with Functional Renormalization Group
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• Thermodynamics and susceptibilities of isospin imbalanced QCD matter
• Nuclear Reactions from Lattice QCD
• A recursive approach to determine correlation functions in multi-baryon systems
• Enhancement of Chiral Symmetry Breaking from the Pion condensation at finite isospin chemical potential in a holographic QCD model
• BCS-BEC crossover in relativistic Fermi systems
• SU(3) Polyakov Linear-Sigma Model With Finite Isospin Asymmetry: QCD Phase Diagram
• Topological deconfinement transition in QCD at finite isospin density
• Multicomponent meson superfluids in chiral perturbation theory
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• Quarkonium at non-zero isospin density
• Critical Behavior and Dimension Crossover of Pion Superfluidity
• Enhanced contribution of the pairing gap to the QCD equation of state at large isospin chemical potential
• Two flavor massless Schwinger model on a torus at a finite chemical potential
• Finite Density Two Color Chiral Perturbation Theory Revisited
• Pion condensation in a soft-wall AdS/QCD model
• Distribution of Canonical Determinants in QCD
• A density of states approach to the hexagonal Hubbard model at finite density
• Finite-volume matrix elements in multi-boson states
• Quark-antiquark Scattering Phase Shift and Meson Spectral Function in Pion Superfluid
• 3-dimensional QCD phase diagram with pion condensate in the NJL model
• Sound velocity peak induced by the chiral partner in dense two-color QCD
• A Hybrid-Monte-Carlo study of monolayer graphene with partially screened Coulomb interactions at finite spin density
• QCD topology and axion properties in an isotropic hot and dense medium
• QCD inequalities for hadron interactions
• Baryon masses at nonzero isospin/kaon density
• Gluon Propagators in $2+1$ Lattice QCD with Nonzero Isospin Chemical Potential
• Isospin effect on baryon and charge fluctuations from the pNJL model
• Classification of sign-problem-free relativistic fermions on the basis of the Majorana positivity
• Analytic non-homogeneous condensates in the $(2+1)$-dimensional Yang-Mills-Higgs-Chern-Simons theory at finite density
• On the effective lagrangian at nonzero isospin chemical potential
• LQCD at non zero isospin chemical potential
• Towards high partial waves in lattice QCD with a dumbbell-like operator
• QCD phase diagram from the gluon propagator at finite temperature and density
• Chiral symmetry breaking and pion condensation in the early universe
• Exploring the QCD phase diagram via reweighting from isospin chemical potential
• Meson Physics in Asymmetric Matter
• Isospin asymmetric matter in a nonlocal chiral quark model