Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-07-10
Mod.Phys.Lett. A12 (1997) 2047-2056
Physics
High Energy Physics
High Energy Physics - Theory
9 pages, LaTeX, no figures
Scientific paper
10.1142/S0217732397002090
Perturbation theory in the nonperturbative QCD vacuum and the non-Abelian Stokes theorem, representing a Wilson loop in the SU(2) gluodynamics as an integral over all the orientations in colour space, are applied to a derivation of the correction to the string effective action in the lowest order in the coupling constant $g$. This correction is due to the interaction of perturbative gluons with the string world sheet and affects only the coupling constant of the rigidity term, while its contribution to the string tension of the Nambu-Goto term vanishes. The obtained correction to the rigidity coupling constant multiplicatively depends on the colour "spin" of the representation of the Wilson loop under consideration and a certain path integral, which includes the background Wilson loop average.
Antonov D. V.
Ebert Dietmar
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