Gluelumps and confinement in QCD

Abstract

Confinement is explained via field correlators, and the latter are calculated via gluelumps. Behavior of gluelump Green's function at small and large distances yields gluonic condensate and vacuum correlation length respectively and allows to check the consistency of the whole picture.1 Note, that magnetic monopoles in QCD contribute largely to higher cumulants and hence violate Casimir scaling (see [10]) while in the weakly-coupled dilute 3d SU (N ) Georgi-Glashow model the Casimir scaling holds to a good accuracy [11], implying that higher cumulants are suppressed at low density.

Color screening in flux tubes and in the color Coulomb potential from QCD field correlators

“…The lowest eigenvalues and the asymptotics of G (2g) were found in [37], namely M (2gl) 0 ≈ 2.5 GeV, and from [40][41][42]…”

“…Till now the properties of D E and D E 1 were not defined and to get information on that, one should exploit their connection to the gluelump Green's function, as it was done in [40][41][42]. Namely, D E (x) is expressed via the two-gluon-gluelump Green's function…”

“…In contrast to that, the FC D E 1 is expressed via the one-gluon gluelump Green's function with the nonperturbative part, behaving asymptotically as [40][41][42]…”

“…Field correlators can be found from the solution for the gluelump Green's functions of [37][38][39], which are connected back to field correlators in a selfconsistent way [40][41][42], which allows to define their properties for distances r > λ, where λ ≈ 0.2 fm is the vacuum correlation length, λ ∼ 1/M glp , M glp is the lowest gluelump mass.…”

Magnetic test of chiral dynamics in QCD

“…where λ is the vacuum correlation length, λ ∼ = (0.1 ÷ 0.15) fm [55][56][57][58]. Expanding (2.1) to the quadratic in φ terms, one obtains the GMOR relation, e.g.…”