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

We compute anomalous dimensions of quartic operators which are singlets underthe $\mathrm{U}(N_f)$ global symmetry in Yang-Mills theories with Chern-Simonslevel $k$ in three dimensions coupled to $N_f$ Dirac fermions. In order to haveanalytic control, we consider the regime $N_f\gg N_c\gg 1$, where the problemis reduced to the study of a flavor-adjoint and a flavor-singlet bilinearswhose square give the quartic operators of interest. We provide evidence thatthese operators hit marginality, signaling instabilities which, for$\frac{2k}{N_f}<1$ suggest the spontaneous breaking of the global symmetry, andno symmetry breaking otherwise. For $k=N_f/2-1$ (the value corresponding to thedomain walls of 4d QCD at $\theta=\pi$), the critical value $N_f^*$ istantalizingly close to the lower end of the conformal window of QCD$_4$,suggesting a connection between conformal and global symmetry breaking in the4d theory and in its domain walls. We also study, at $k=0$, other quarticoperators containing a singlet when branched under$\mathrm{U}\left(\frac{N_f}{2}\right)\times\mathrm{U}\left(\frac{N_f}{2}\right)$, finding that they hit marginalityprecisely at the same point as their flavor-neutral cousins. Using the sametechnology we study bosonic CS-QCD$_3$, finding no hint of symmetry breakingwhere our analysis is applicable.

Infrared phases of 3d massless CS-QCD and large $N_f$