English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The quantum field theory describing electric and magnetic charges andrevealing a dual symmetry was developed in the Zwanziger formalism. Therenormalization group (RG) equations for both fine structure constants -electric $\alpha$ and magnetic $\tilde \alpha$ - were obtained. It was shownthat the Dirac relation is valid for the renormalized $\alpha $ and $\tilde\alpha$ at the arbitrary scale, but these RG equations can be consideredperturbatively only in the small region: $0.25 \stackrel{<}{\sim} \alpha,\tilde \alpha \stackrel{<}{\sim} 1$ with $\tilde \alpha$ given by the Diracrelation: $\alpha {\tilde \alpha}$ = 1/4.Comment: 15 pages, 4 figures, made corrections of physics after comments from  Kim Milto

DIRAC RELATION AND RENORMALIZATION GROUP EQUATIONS FOR ELECTRIC AND MAGNETIC FINE STRUCTURE CONSTANTS