Relative scale setting for two-color QCD with Nf=2 Wilson fermions

Abstract

We determine the scale setting function and the pseudo-critical temperature on the lattice in $N_f=2$ two-color QCD using the Iwasaki gauge and Wilson fermion actions. Although two-color QCD does not correspond to the real world, it is very useful as a good testing ground for three-color QCD. The scale setting function gives the relative lattice spacings of simulations performed at different values of the bare coupling. It is a necessary tool for taking the continuum limit. Firstly, we measure the meson spectra for various combinations of ($\beta ,\kappa$) and find a line of constant physics in $\beta$--$\kappa$ plane. Next, we determine the scale setting function via $w_0$ scale in the gradient flow method. Furthermore, we estimate the pseudo-critical temperature at zero chemical potential from the chiral susceptibility. Combining these results, we can discuss the QCD phase diagram in which both axes are given by dimensionless quantities, namely, the temperature normalized by the pseudo-critical temperature on the lattice and the chemical potential normalized by the pseudoscalar meson mass. It makes it easy to compare among several lattice studies and also makes it possible to compare theoretical analyses and lattice studies in the continuum limit.

arXiv comment21pages, 5 figures

References in corpus (30)

• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• Perturbative analysis of the gradient flow in non-abelian gauge theories
• High-precision scale setting in lattice QCD
• Trivializing maps, the Wilson flow and the HMC algorithm
• On two-color QCD with baryon chemical potential
• Numerical Study of Dense Adjoint Matter in Two Color QCD
• Symmetries and spectrum of SU(2) Lattice Gauge Theory at finite chemical potential
• Two-colour QCD at non-zero quark-number density
• Deconfinement in dense 2-color QCD
• Chiral symmetry restoration, eigenvalue density of Dirac operator and axial U(1) anomaly at finite temperature
• Towards the phase diagram of dense two-color matter
• A Quarkyonic Phase in Dense Two Color Matter?
• The QCD Chiral Condensate from the Lattice
• Study of the phase diagram of dense two-color QCD within lattice simulation
• Dense 2-color QCD towards continuum and chiral limits
• The phase diagram of quantum chromodynamics
• Lattice study of thermodynamic properties of dense QC${}_2$D
• Observation of deconfinement in a cold dense quark medium
• The pseudo-Goldstone spectrum of 2-colour QCD at finite density
• Fermion Condensates in Two Colours Finite Density QCD at Strong Coupling
• Renormalization Group Analysis of Lattice Theories and Improved Lattice Action. II -- four-dimensional non-abelian SU(N) gauge model
• Finite-density gauge correlation functions in QC2D
• Electric conductivity in finite-density SU(2) lattice gauge theory with dynamical fermions
• Continuum Goldstone spectrum of two-color QCD at finite density with staggered quarks
• Dense two-color QCD from Dyson-Schwinger equations
• Effects of Dense Quark Matter on Gluon Propagators in Lattice QC${}_2$D
• Lattice Study on quantum-mechanical dynamics of two-color QCD with six light flavors
• Phase structure of two-color QCD at real and imaginary chemical potentials; lattice simulations and model analyses
• Deconfinement, gradient and cooling scales for pure SU(2) lattice gauge theory
• Hadron-hadron interaction from SU(2) lattice QCD

Cited by in corpus (2)

• Thermal quarks and gluon propagators in two-color dense QCD
• Study of two color QCD on large lattices