A strategy to study confinement in QCD

Nonperturbative dynamics in the color-magnetic QCD vacuum

“…The picture of the strong interacting quark-gluon plasma (SQGP) seems to be adequate for explaining the recent data on ion-ion collisions [1]. It was found on the lattice [2] that colourmagnetic vacuum fields do not change across the phase transition, thus supporting the conjecture made in Ref. [3] that, above the temperature of deconfinement T c , the QCD vacuum loses its confining colour-electric part, while the colour-magnetic part remains intact.…”

“…At the same time it was conjectured in Ref. [7], and confirmed later on the lattice [2,8], that the non-confining correlator D E 1 does not vanish either above the T c and leads to strong interaction between quarks and gluons. In Refs.…”

“…where the wave functions of the initial and final colourless qq states are built with the help of the parallel transporter Φ(x, y) = P exp i x y dz µ A µ (z) . Using the standard path integral approach and the Feynman-Schwinger representation for the single-quark propagator, one arrives at the Green's function (2) in the form [11]:…”

“…[4] for the details of the formalism) 1 . Notice that among those only D E vanishes above the T c [2,3]. The usual (time-like) string tension σ E and the so-called spatial string tension σ s are given by the double integrals from the corresponding correlators,…”