Infrared features of unquenched finite temperature lattice Landau gauge QCD

Abstract

The color diagonal and color antisymmetric ghost propagators slightly above $T_c$ of $N_f=2$ MILC $24^3\times 12$ lattices are measured and compared with zero temperature unquenched $N_f=2+1$ MILC${}_c$ $20^3\times 64$ and MILC${}_f$ $28^3\times 96$ lattices and zero temperature quenched $56^4$ $\beta =6.4$ and 6.45 lattices. The expectation value of the color antisymmetric ghost propagator ${\varphi }^c(q)$ is zero but its Binder cumulant, which is consistent with that of $N_c^2-1$ dimensional Gaussian distribution below $T_c$, decreases above $T_c$. Although the color diagonal ghost propagator is temperature independent, the $l^1$ norm of the color antisymmetric ghost propagator is temperature dependent. The expectation value of the ghost condensate observed at zero temperature unquenched configuration is consistent with 0 in $T>T_c$. We also measure transverse, magnetic and electric gluon propagator and extract gluon screening masses. The running coupling measured from the product of the gluon dressing function and the ghost dressing function are almost temperature independent but the effect of $A^2$ condensate observed at zero temperature is consistent with 0 in $T>T_c$. The transverse gluon dressing function at low temperature has a peak in the infrared but it becomes flatter at high temperature. Its absolute value in the high momentum is larger for high temperature and similar to the magnetic gluon dressing function. The electric gluon propagator at high momentum is temperature independent. These data imply that the magnetic gluon propagator and the color antisymmetric ghost propagator are affected by the presence of dynamical quarks and there are strong non-perturbative effects through the temperature dependent color anti-symmetric ghost propagator.

arXiv comment11 pages 16 figures, version accepted for publication in Phys. Rev. D

References in corpus (29)

• The QCD transition temperature: results with physical masses in the continuum limit
• The Nf=0 heavy quark potential from short to intermediate distances
• The QCD spectrum with three quark flavors
• A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge
• Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops
• Four-loop renormalization of QCD: full set of renormalization constants and anomalous dimensions
• Coulomb Energy, Remnant Symmetry, and the Phases of Non-Abelian Gauge Theories
• Quark-gluon vertex in arbitrary gauge and dimension
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• Lattice calculation of gluon screening masses
• QCD equation of state with 2+1 flavors of improved staggered quarks
• The beta function and equation of state for QCD with two flavors of quarks
• Two-loop Improved Truncation of the Ghost-Gluon Dyson-Schwinger Equations: Multiplicatively Renormalizable Propagators and Nonperturbative Running Coupling
• Lattice calculation of ${\alpha }_s$ in momentum scheme
• The Gluon Propagator at High Temperature: Screening, Improvement and Non-Zero Momenta
• The Gluon Propagator at High Temperature
• Infrared Features of the Landau Gauge QCD
• Quenched hadron spectroscopy with improved staggered quark action
• Unqueched Kogut-Susskind quark propagator in Lattice Landau Gauge QCD
• The High-Temperature Phase of Landau-Gauge Yang-Mills Theory
• Two-Flavor Staggered Fermion Thermodynamics at N_t = 12
• What the Gribov copy tells on the confinment and the theory of dynamical chiral symmetry breaking
• The asymptotic behavior of Casimir force in the presence of compactified universal extra dimensions
• Validity of the Rooted Staggered Determinant in the continuum limit
• Preliminary Calculation of ${\alpha }_s$ from Green Functions with Dynamical Quarks
• Infrared features of KS fermion and Wilson fermion in Lattice Landau Gauge QCD
• Temperature Dependence of Gluon and Ghost Propagators in Landau-Gauge Yang-Mills Theory below the Phase Transition
• More on ghost condensation in Yang-Mills theory: BCS versus Overhauser effect and the breakdown of the Nakanishi-Ojima annex SL(2,R) symmetry
• Ghost condensation on the lattice

Cited by in corpus (17)

• Light-Front Holographic QCD and Emerging Confinement
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Indirect determination of the Kugo-Ojima function from lattice data
• Yang-Mills correlators at finite temperature: A perturbative perspective
• Constraining vectors and axial-vectors in walking technicolour by a holographic principle
• Landau gauge gluon and ghost propagators from lattice QCD with Nf=2 twisted mass fermions at finite temperature
• Generalised bottom-up holography and walking technicolour
• Baryon properties from light-front holographic QCD
• Electric-magnetic asymmetry of the A^2 condensate and the phases of Yang-Mills theory
• Lattice QCD gluon propagators near transition temperature
• Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories
• Meson Wave Functions From Holographic Qcd And The Role Of Infrared Renormalons In Proton-Proton Collisions
• Pion wave functions from holographic QCD and the role of infrared renormalons in photon-photon collisions
• Light-front holographic QCD with generic dilaton profile
• AdS/CFT and QCD
• Roles of the color antisymmetric ghost propagator in the infrared QCD
• Novel QCD Phenomena