Instantaneous Interquark Potential in Generalized Landau Gauge in SU(3) Lattice QCD: A Linkage between the Landau and the Coulomb Gauges

Abstract

We investigate in detail "instantaneous interquark potentials", interesting gauge-dependent quantities defined from the spatial correlators of the temporal link-variable $U_4$, in generalized Landau gauge using SU(3) quenched lattice QCD. The instantaneous Q$\bar{\mathrm{Q}}$ potential has no linear part in the Landau gauge, and it is expressed by the Coulomb plus linear potential in the Coulomb gauge, where the slope is 2-3 times larger than the physical string tension. Using the generalized Landau gauge, we find that the instantaneous potential can be continuously described between the Landau and the Coulomb gauges, and its linear part rapidly grows in the neighborhood of the Coulomb gauge. We also investigate the instantaneous 3Q potential in the generalized Landau gauge, and obtain similar results to the Q$\bar{\mathrm{Q}}$ case. $T$-length terminated Polyakov-line correlators and their corresponding "finite-time potentials" are also investigated in generalized Landau gauge.

References in corpus (20)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Detailed Analysis of the Three Quark Potential in SU(3) Lattice QCD
• Three-Quark Potential in SU(3) Lattice QCD
• Quenched Light Hadron Spectrum
• No confinement without Coulomb confinement
• Coulomb Energy, Remnant Symmetry, and the Phases of Non-Abelian Gauge Theories
• Detailed Analysis of the Tetraquark Potential and Flip-Flop in SU(3) Lattice QCD
• Gluon Chain Model of the Confining Force
• Infrared Features of the Landau Gauge QCD
• Perturbative Confinement
• Baryonic Flux in Quenched and Two-Flavor Dynamical QCD after Abelian projection
• Negative-parity baryon spectra in quenched anisotropic lattice QCD
• The Gluon Propagator
• Flux Tubes of Two- and Three-Quark System in Full QCD
• Gluon-propagator functional form in the Landau gauge in SU(3) lattice QCD: Yukawa-type gluon propagator and anomalous gluon spectral function
• Detailed analysis of the gluonic excitation in the three-quark system in lattice QCD
• The gluonic excitation of the three-quark system in SU(3) lattice QCD
• Color confinement in Coulomb gauge QCD
• Infrared-suppressed gluon propagator in 4d Yang-Mills theory in a Landau-like gauge
• Chromo-Electric flux tubes

Cited by in corpus (13)

• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Leading order infrared quantum chromodynamics in Coulomb gauge
• Gauge-Invariant Formalism with a Dirac-mode Expansion for Confinement and Chiral Symmetry Breaking
• Anisotropic in-plane optical conductivity in detwinned Ba(Fe1-xCox)2As2
• Coulomb vs. physical string tension on the lattice
• Symmetries of the Three Heavy-Quark System and the Color-Singlet Static Energy at NNLL
• Heavy-baryon quark model picture from lattice QCD
• Bethe-Salpeter equation at leading order in Coulomb gauge
• Lattice QCD analysis for Faddeev-Popov eigenmodes in terms of gluonic momentum components in the Coulomb gauge
• Yang-Mills Theory in lambda-Gauges
• Dimensional reduction gauge and effective dimensional reduction in the four-dimensional Yang-Mills theory
• Remnants of quark model in lattice QCD simulation in the Coulomb gauge
• Unphysical properties of the static quark-antiquark four-point correlator in Landau gauge