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

Geometric quantization of 2+1 dimensional pure Yang-Mills theory is studiedwith focusing on finite large scales. It is previously shown that (Yildirim,2015, Int. J. Mod. Phys A, 30(7), 1550034), topologically massive Yang-Millstheory exhibits a Chern-Simons splitting behavior at large scales, similar tothe topologically massive AdS gravity model in its near Chern-Simons limit.This splitting occurs as two Chern-Simons parts with levels $+k/2$ each, where$k$ is the original Chern-Simons level in the Lagrangian. In the pureChern-Simons limit, split parts combine to give the original Chern-Simonslevel. The opposite limit of the gravitational analogue gives anEinstein-Hilbert term with a negative cosmological constant, which can bewritten as a two half Chern-Simons terms with opposite signs. With thismotivation, the gauge theory analogue of this limit is investigated, showingthat at finite large distances pure Yang-Mills theory acts like a topologicaltheory that consists of split Chern-Simons parts with levels $+k/2$ and $-k/2$.At very large distances these split terms cancel, making the Yang-Mills theorytrivial, as expected, due to the existence of a mass gap. Gauge invariance ofthe split parts is discussed. It is also shown that this splitting behavior canbe exploited to incorporate link invariants of knot theory, just like in thetopologically massive case.

Chern-Simons Splitting of 2+1D Pure Yang-Mills Theory at Large Distances