2009/01/01 by Jeff Greensite, J. Greensite, Š. Olejník +1
Physics and Astronomy · #Coulomb #Gauge boson #Gauge fixing #Gauge theory #Gluon #Gluon field #High-Energy Particle Collisions Research #Lattice QCD #Lattice gauge theory #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevd.79.114501
published as Phys.Rev.D79:114501,2009
arxiv created 2009/01/01 · openalex publication_date 2009/06/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 2 to 3 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% for the variational states used in this study, at the largest value of \ensuremathβ=4/g2=2.4 considered.