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

Conformal field theories (CFTs) with $U(m)\times U(n)$ global symmetry in$d=3$ dimensions have been studied for years due to their potential relevanceto the chiral phase transition of quantum chromodynamics (QCD). In this worksuch CFTs are analyzed in $d=4-\varepsilon$ and $d=3$. This includesperturbative computations in the $\varepsilon$ and large-$n$ expansions as wellas non-perturbative ones with the numerical conformal bootstrap. Newperturbative results are presented and a variety of non-perturbative bootstrapbounds are obtained in $d=3$. Various features of the bounds obtained for largevalues of $n$ disappear for low values of $n$ (keeping $m<n$ fixed), aphenomenon which is attributed to a transition of the corresponding fixedpoints to the non-unitary regime. Numerous bootstrap bounds are found that aresaturated by large-$n$ results, even in the absence of any features in thebounds. A double scaling limit is also observed, for $m$ and $n$ large with$m/n$ fixed, both in perturbation theory as well as in the numerical bootstrap.For the case of two-flavor massless QCD existing bootstrap evidence isreproduced that the chiral phase transition may be second order, albeitassociated to a universality class unrelated to the one usually discussed inthe $\varepsilon$ expansion. Similar evidence is found for the case ofthree-flavor massless QCD, where we observe a pronounced kink.

CFTs with $U(m)\times U(n)$ Global Symmetry in 3D and the Chiral Phase Transition of QCD