String representation of the SU(N)-inspired dual Abelian-Higgs-type theory with the Theta-term

摘要

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 Npi x integer. On the contrary, at these critical values of Theta, the scattering of dyons over strings is absent. (C) 2002 Elsevier Science B.V. All rights reserved. References: 30