Dirac Relation and Renormalization Group Equations for Electric and Magnetic Fine Structure Constants

Details Dirac Relation and Renormalization Group Equations for Electric and Magnetic Fine Structure Constants Dirac Relation and Renormalization Group Equations for Electric and Magnetic Fine Structure Constants

1999-10-13

arxiv.org/abs/hep-th/9910101v2

Mod.Phys.Lett. A14 (1999) 2797

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 4 figures, made corrections of physics after comments from Kim Milton

Scientific paper

10.1142/S0217732399002935

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 $\tilde \alpha$ at the arbitrary scale, but these RG equations can be considered perturbatively only in the small region: $0.25 \stackrel{<}{\sim} \alpha, \tilde \alpha \stackrel{<}{\sim} 1$ with $\tilde \alpha$ given by the Dirac relation: $\alpha {\tilde \alpha}$ = 1/4.

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