Constituent Gluon Content of the Static Quark-Antiquark State in Coulomb Gauge

Abstract

Motivated by the gluon-chain model of flux tube formation, we compute and diagonalize the transfer matrix in lattice SU(2) gauge theory for states containing heavy static quark-antiquark sources, with separations up to one fermi. The elements of the transfer matrix are calculated by variational Monte Carlo methods, in a basis of states obtained by acting on the vacuum state with zero, one, and two-gluon operators in Coulomb gauge. The color Coulomb potential is obtained from the zero gluon to zero gluon element of the transfer matrix, and it is well-known that while this potential is asymptotically linear, it has a slope which is two to three times larger than the standard asymptotic string tension. We show that the addition of one and two gluon states results in a potential which is still linear, but the disagreement with the standard asymptotic string tension is reduced to 38% at the largest lattice coupling we have studied.

References in corpus (3)

• Properties of Color-Coulomb String Tension
• Color confinement in Coulomb gauge QCD
• Coulomb energy and gluon distribution in the presence of static sources

Cited by in corpus (10)

• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• A model for QCD ground state with magnetic disorder
• Coulomb string tension, asymptotic string tension, and the gluon chain
• Different faces of confinement
• Constituent gluons and the static quark potential
• Equal-time two-point correlation functions in Coulomb gauge Yang-Mills theory
• Lattice QCD analysis for Faddeev-Popov eigenmodes in terms of gluonic momentum components in the Coulomb gauge
• Gluon chain formation in presence of static charges
• Gauge Orbits and the Coulomb Potential
• Gluon chains and the quark-antiquark potential