Coulomb string tension, asymptotic string tension, and the gluon chain

Abstract

We compute, via numerical simulations, the non-perturbative Coulomb potential of pure SU(3) gauge theory in Coulomb gauge. We find that that the Coulomb potential scales nicely in accordance with asymptotic freedom, that the Coulomb potential is linear in the infrared, and that the Coulomb string tension is about four times larger than the asymptotic string tension. We explain how it is possible that the asymptotic string tension can be lower than the Coulomb string tension by a factor of four.

Comments: 10 pages, 7 figures. v2: Published version. This version concerns only the non-perturbative Coulomb potential. Results for the ghost propagator are deferred to a later publication