Towards Abelian-like formulation of the dual gluodynamics

Details Towards Abelian-like formulation of the dual gluodynamics Towards Abelian-like formulation of the dual gluodynamics

2000-10-28

arxiv.org/abs/hep-th/0010265v1

Nucl.Phys. B600 (2001) 163-184

Physics

High Energy Physics

High Energy Physics - Theory

28+1 pp., Latex2e, 1 figure

Scientific paper

10.1016/S0550-3213(01)00011-6

We consider gluodynamics in case when both color and magnetic charges are present. We discuss first short distance physics, where only the fundamental |Q|=1 monopoles introduced via the `t Hooft loop can be considered consistently. We show that at short distances the external monopoles interact as pure Abelian objects. This result can be reproduced by a Zwanziger-type Lagrangian with an Abelian dual gluon. We introduce also an effective dual gluodynamics which might be a valid approximation at distances where the monopoles |Q|=2 can be considered as point-like as well. Assuming the monopole condensation we arrive at a model which is reminiscent in some respect of the Abelian Higgs model but, unlike the latter leaves space for the Casimir scaling.

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