Abstract

The theory of Euclidean generalized random fields with nonlinear electromagnetic interaction is examined. A certain class of models described by the theory is given where ultraviolet divergences are mild and the field confines charges. In fact, for each model of the class, the Wilson loop can be defined without any renormalization of infinities and the static potential which is defined through the expectation value of the Wilson loop tends to infinity as the intercharge distance tends to infinity.

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