The pseudo-Goldstone spectrum of 2-colour QCD at finite density

Abstract

We examine the spectrum of 2-colour lattice QCD with 4 continuum flavours at a finite chemical potential ($\mu$) for quark-number, on a $12^3\times 24$ lattice. First we present evidence that the system undergoes a transition to a state with a diquark condensate, which spontaneously breaks quark number at $\mu =m_{\pi }/2$, and that this transition is mean field in nature. We then examine the 3 states that would be Goldstone bosons at $\mu =0$ for zero Dirac and Majorana quark masses. The predictions of chiral effective Lagrangians give a good description of the behaviour of these masses for $\mu <m_{\pi }/2$. Except for the heaviest of these states, these predictions diverge from our measurements, once $\mu$ is significantly greater than $m_{\pi }/2$. However, the qualitative behaviour of these masses, indicates that the physics is very similar to that predicted by these effective Lagrangians, and there is some indication that at least part of these discrepancies is due to saturation, a lattice artifact.

arXiv comment32 pages LaTeX/Revtex, 8 Postscript figures

References in corpus (26)

• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Diquark Bose Condensates in High Density Matter and Instantons
• The QCD phase diagram for small densities from imaginary chemical potential
• Lattice determination of the critical point of QCD at finite T and μ
• The QCD thermal phase transition in the presence of a small chemical potential
• QCD at finite isospin density
• A new method to study lattice QCD at finite temperature and chemical potential
• QCD-like Theories at Finite Baryon Density
• Lattice QCD at finite isospin density at zero and finite temperature
• On two-color QCD with baryon chemical potential
• QCD at finite isospin density: from pion to quark-antiquark condensation
• QCD-like Theories at Finite Baryon and Isospin Density
• Symmetries and spectrum of SU(2) Lattice Gauge Theory at finite chemical potential
• Two-colour QCD at non-zero quark-number density
• Quenched lattice QCD at finite isospin density and related theories
• Diquark Condensate in QCD with Two Colors at Next-to-Leading Order
• Thermodynamics of chiral symmetry at low densities
• The Phase Diagram of Four Flavor SU(2) Lattice Gauge Theory at Nonzero Chemical Potential and Temperature
• Diquark Condensation at Nonzero Chemical Potential and Temperature
• Responses of hadrons to chemical potential at finite temperature
• Random matrix study of the phase structure of QCD with two colors
• Fermion Condensates in Two Colours Finite Density QCD at Strong Coupling
• Probability Distribution Function of the Diquark Condensate in Two Colours QCD
• Two-colour QCD at finite fundamental quark-number density and related theories
• Composite Reweighting the Glasgow Method for Finite Density QCD
• Composite reweighting SU(2) QCD at Finite Temperature

Cited by in corpus (29)

• The phase diagram of dense QCD
• The SIMPlest Miracle
• Light Asymmetric Dark Matter on the Lattice: SU(2) Technicolor with Two Fundamental Flavors
• Thermodynamics of two-colour QCD and the Nambu Jona-Lasinio model
• Factorization of Correlation Functions and the Replica Limit of the Toda Lattice Equation
• Phase structures of strong coupling lattice QCD with finite baryon and isospin density
• Model study of the sign problem in the mean-field approximation
• Two-color quark matter: U(1)_A restoration, superfluidity, and quarkyonic phase
• Phase diagram of two-color quark matter at nonzero baryon and isospin density
• Thermal pion masses in the second phase: $|{\mu }_I|>m_{\pi }$
• Chiral Lagrangian and spectral sum rules for dense two-color QCD
• The QCD phase diagram at nonzero baryon, isospin and strangeness chemical potentials: Results from a hadron resonance gas model
• Diquark and Pion Condensation in Random Matrix Models for two-color QCD
• Influence of the isospin and hypercharge chemical potentials on the location of the CEP in the mu_B-T phase diagram of the SU(3)_L x SU(3)_R chiral quark model
• Phase-diagram of two-color lattice QCD in the chiral limit
• Continuum Goldstone spectrum of two-color QCD at finite density with staggered quarks
• Chiral Limit of Strongly Coupled Lattice QCD at Finite Temperatures
• On the chiral perturbation theory for two-flavor two-color QCD at finite chemical potential
• Numerical Portrait of a Relativistic BCS Gapped Superfluid
• Masses of vector bosons in two-color dense QCD based on the hidden local symmetry
• Finite-Density Massless Two-Color QCD at Isospin Roberge-Weiss Point and 't Hooft Anomaly
• QCD Anderson transition with overlap valence quarks on a twisted-mass sea
• Breaking Mirror Twin Color
• Lattice QCD and dense quark matter
• Relative scale setting for two-color QCD with Nf=2 Wilson fermions
• Meson-Baryon Scattering Parameters from Lattice QCD with an Isospin Chemical Potential
• Topics in Lattice QCD and Effective Field Theory
• Chiral dynamics and pion properties at finite temperature and isospin chemical potential
• Chiral limit of 2-color QCD at strong couplings