Finite temperature properties of QCD with two flavors and three, four and five colors

Abstract

I present a numerical study of the crossover between the low temperature chirally broken phase and the high temperature chirally restored phase in $SU(N_c)$ gauge theory with $N_c=3-5$ colors and $N_f=2$ degenerate fermion flavors. Fermion masses span a range of intermediate values (represented by the squared ratio of pseudoscalar to vector meson masses $(m_{PS}/m_V{)}^2\sim 0.25$ to 0.63). Observables include the temperature dependent chiral condensate and screening masses. At each fermion mass these quantities show nearly identical temperature dependence across $N_c$.

arXiv commentpublished version, small changes from v.1, 24 pages, 9 figures

References in corpus (34)

• 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
• Properties and uses of the Wilson flow in lattice QCD
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• Trivializing maps, the Wilson flow and the HMC algorithm
• Infinite N phase transitions in continuum Wilson loop operators
• Speeding up the Hybrid-Monte-Carlo algorithm for dynamical fermions
• Thermodynamics of the QCD plasma and the large-N limit
• SU(N) gauge theories at large N
• Quenched Chiral Logarithms
• Large N_c in chiral perturbation theory
• Properties of the deconfining phase transition in SU(N) gauge theories
• HMC algorithm with multiple time scale integration and mass preconditioning
• Testing and tuning symplectic integrators for Hybrid Monte Carlo algorithm in lattice QCD
• Hypercubic Smeared Links for Dynamical Fermions
• Kaon Matrix Elements and CP-violation from Quenched Lattice QCD: (I) the 3-flavor case
• Equation of state in finite-temperature QCD with two flavors of improved Wilson quarks
• The QCD Chiral Condensate from the Lattice
• Equation of State and Heavy-Quark Free Energy at Finite Temperature and Density in Two Flavor Lattice QCD with Wilson Quark Action
• SU(N_c) gauge theories at deconfinement
• QCD thermodynamics with continuum extrapolated Wilson fermions I
• Probing the finite temperature phase transition with Nf=2 nonperturbatively improved Wilson fermions
• The Kaon B-parameter from Quenched Domain-Wall QCD
• SU(4) lattice gauge theory with decuplet fermions: Schrödinger functional analysis
• QCD thermodynamics with continuum extrapolated Wilson fermions II
• Deconfinement critical point of lattice QCD with $N_{\mathrm{f}}=2$ Wilson fermions
• Lattice baryons in the 1/N expansion
• Lattice QCD Thermodynamics with Physical Quark Masses
• Lattice study of large $N_c$ QCD
• Sensitivity of the Polyakov loop and related observables to chiral symmetry restoration
• Large $N_c$ scaling of meson masses and decay constants
• The Large $N_c$ limit of QCD on the lattice
• Topological susceptibility in QCD with two flavors and 3-5 colors -- a pilot study
• Non-leptonic kaon decays at large $N_c$
• Dissecting the $\Delta I=1/2$ rule at large $N_c$

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