Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-07-10
Phys.Lett. B543 (2002) 53-58
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, LaTeX2e, no figures
Scientific paper
10.1016/S0370-2693(02)02412-7
String representation of the $[U(1)]^{N-1}$ gauge-invariant dual Abelian-Higgs-type theory, which is relevant to the SU(N)-QCD with the $\Theta$-term and provides confinement of quarks, is derived. The N-dependence of the Higgs vacuum expectation value is found, at which the tension of the string joining quarks becomes N-independent, similarly to the real QCD. Contrary to that, the inverse coupling constant of the rigidity term of this string always behaves approximately as 1/N. A long-range Aharonov-Bohm-type interaction of a dyon (i.e., a quark which acquired a magnetic charge due to the $\Theta$-term) with a closed electric string becomes nontrivial at $\Theta$ not equal to $N\pi$ times an integer. On the contrary, at these critical values of $\Theta$, the scattering of dyons over strings is absent.
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