Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-09-14
Phys.Rev. D51 (1995) 3669-3687
Physics
High Energy Physics
High Energy Physics - Phenomenology
CERN-TH. 7440/94, 34 pages, 10 figures, Latex file plus figures encoded with uufiles
Scientific paper
10.1103/PhysRevD.51.3669
A QCD based effective action is constructed to describe the dynamics of confinement and symmetry breaking in the process of parton-hadron conversion. The deconfined quark and gluon degrees of freedom of the perturbative QCD vacuum are coupled to color singlet collective fields representing the non-perturbative vacuum with broken scale and chiral symmetry. The effective action recovers QCD with its scale and chiral symmetry properties at short space-time distances, but yields at large distances (r > 1 fm) to the formation of symmetry breaking gluon and quark condensates. The approach is applied to the evolution of a fragmenting $q\bar q$ pair with its generated gluon distribution, starting from a large hard scale $Q^2$. The modification of the gluon distribution arising from the coupling to the non-perturbative collective field results eventually in a complete condensation of gluons. Color flux tube configurations of the gluons in between the $q\bar q$ pair are obtained as solutions of the equations of motion. With reasonable parameter choice, the associated energy per unit length (string tension) comes out $\simeq 1$ GeV/fm, consistent with common estimates.
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