Dirac relation and renormalization group equations for electric and magnetic fine structure constants

The quantum field theory describing electric and magnetic charges and revealing a dual symmetry was developed in the Zwanziger formalism. The renormalization group (RG) equations for both fine structure constants - electric $\alpha $ and magnetic $\tilde \alpha $ - were obtained. It was shown that the Dirac relation is valid for the renormalized $\alpha $ and $\tilde perturbatively only in the small region: $0.25 \stackrel{<}{\sim} \alpha, relation: $\alpha {\tilde \alpha} = \frac 14 $.