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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We study quantum chromodynamics including the two-index symmetric oranti-symmetric quark (QCD(Sym/ASym)) on small $\mathbb{R}^2\times T^2$ with asuitable magnetic flux. We first discuss the 't Hooft anomaly of these theoriesand claim that discrete chiral symmetry should be spontaneously brokencompletely to satisfy the anomaly matching condition. The $T^2$compactification with the magnetic flux preserves the 't Hooft anomaly, and the$2$d effective theory is constrained by the same anomaly of $4$d QCD(Sym/ASym).We demonstrate the spontaneous breakdown of chiral symmetry using the dilutegas of center vortices, which confirms the prediction of the 't Hooft anomaly.We also find that each vacuum maintains the charge conjugation symmetry, andthis gives affirmative support for the nonperturbative large-$N$ orientifoldequivalence between QCD(Sym/ASym) and $\mathcal{N}=1$ supersymmetric $SU(N)$Yang-Mills theory.

Semiclassics with 't Hooft flux background for QCD with $2$-index quarks