Ghost propagator and the Coulomb form factor from the lattice

Abstract

We calculate the Coulomb ghost propagator G(|p|) and the static Coulomb potential V_C(|r|) for SU(2) Yang-Mills theory on the lattice. In view of possible scaling violations related to deviations from the Hamiltonian limit we use anisotropic lattices to improve the temporal resolution. We find that the ghost propagator is infrared enhanced with an exponent kappa_gh ~ 0.5 while the Coulomb potential exhibits a string tension larger than the Wilson string tension, sigma_C ~ 2 sigma. This agrees with the Coulomb "scaling" scenario derived from the Gribov-Zwanziger confinement mechanism.

23 pages, 5 figures. Some issues clarified and extended, references added. To appear in PRD

References in corpus (22)

• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
• Coulomb gauge gluon propagator and the Gribov formula
• Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge
• Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge
• Dielectric function of the QCD vacuum
• The Gribov horizon and spontaneous BRST symmetry breaking
• The Coulomb gauge ghost Dyson-Schwinger equation
• Two-Point Functions of Coulomb Gauge Yang-Mills Theory
• The effective Coulomb potential in SU(3) lattice Yang-Mills theory
• Perturbation Theory of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• Coulomb-gauge ghost and gluon propagators in SU(3) lattice Yang-Mills theory
• Dimensional Reduction and the Yang-Mills Vacuum State in 2+1 Dimensions
• Running mass, effective energy and confinement: the lattice quark propagator in Coulomb gauge
• Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory
• Resolving temporal Gribov copies in Coulomb gauge Yang-Mills theory
• Hamiltonian Approach to 1+1 dimensional Yang-Mills theory in Coulomb gauge
• Scaling study of the gluon propagator in Coulomb gauge QCD on isotropic and anisotropic lattices
• Infrared behavior of the Faddeev-Popov operator in Coulomb gauge QCD
• Renormalization in Coulomb gauge QCD
• Spectral sum for the color-Coulomb potential in SU(3) Coulomb gauge lattice Yang-Mills theory

Cited by in corpus (15)

• A covariant variational approach to Yang-Mills Theory
• Coulomb vs. physical string tension on the lattice
• Quark Sector of the QCD Groundstate in Coulomb Gauge
• Ghost sector and geometry in minimal Landau gauge: further constraining the infinite-volume limit
• Coulomb string tension, asymptotic string tension, and the gluon chain
• Dimension two condensates in the Gribov-Zwanziger theory in the Coulomb gauge
• Constituent gluons and the static quark potential
• Gribov horizon and Gribov copies effect in lattice Coulomb gauge
• Chiral and deconfinement phase transition in the Hamiltonian approach to QCD in Coulomb gauge
• The Coulomb flux tube on the lattice
• Gluon chain formation in presence of static charges
• Schwinger-Dyson Equations in Coulomb Gauge Consistent with Numerical Simulation
• Heavy tetraquark confining potential in Coulomb gauge QCD
• Gauge-fixed Lattice QCD and the dispersion relation of Wilson fermions
• Lattice Coulomb propagators, effective energy and confinement