Effective action for gauge theories and quark confinement

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Abstract
The effective action for spinor fields coupled to Abelian or non-Abelian gauge bosons is examined as a function of a composite or elementary field. Various authors have proposed a classical Lagrangian that may lead to quark confinement, and the question is asked whether such a Lagrangian could be an effective one generated by quantum correction to a more conventional one. It is shown that such a mechanism will not be operative for Abelian theories and speculations are made for non-Abelian ones.

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