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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

QED based on $\theta$-unexpanded noncomutative space-time in contrast withthe noncommutative QED based on $\theta$-expanded U(1) gauge theory via theSeiberg-Witten map, is one-loop renormalizable. Meanwhile it suffers fromasymptotic freedom that is not in agreement with the experiment. We show thatQED part of $U_\star(3)\times U_\star(1)$ gauge group as an appropriate gaugegroup for the noncommutative QED+QCD, is not only one-loop renormalizable butalso has a $\beta$ function that can be positive, negative and even zero. Infact the $\beta$ function depends on the mixing parameter $\delta_{13}$ as afree parameter and it will be equal to its counterpart in the ordinary QED for$\delta_{13}=0.367\pi$.

Noncommutative QED+QCD and $\beta$-function for QED