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 address the question of whether thermal QCD at high temperature is chaoticfrom the ${\cal M}$ theory dual of QCD-like theories at intermediate couplingas constructed in arXiv: 2004.07259, and find the dual to be unusuallychaotic-like - hence the title ${\cal M}$-theoretic (too) Unusually ChaoticHolographic (${\cal M}$UCH) QCD. The EOM of the gauge-invariant combination$Z_s(r)$ of scalar metric perturbations is shown to possess an irregularsingular point at the horizon radius $r_h$. Very interestingly, at a specificvalue of the imaginary frequency and momentum used to read off the analogs ofthe "Lyapunov exponent" $\lambda_L$ and "butterfly velocity" $v_b$ not onlydoes $r_h$ become a regular singular point, but truncating the incoming modesolution of $Z_s(r)$ as a power series around $r_h$, yields a "missing pole",i.e., "$C_{n, n+1}=0,\ {\rm det}\ M^{(n)}=0", n\in\mathbb{Z}^+$ is satisfiedfor a single $n\geq3$ depending on the values of the string coupling $g_s$,number of (fractional) $D3$ branes $(M)N$ and flavor $D7$-branes $N_f$ in theparent type IIB set (arXiv:hep-th/0902.1540), e.g., for theQCD(EW-scale)-inspired $N=100, M=N_f=3, g_s=0.1$, one finds a missing pole at$n=3$. For integral $n>3$, truncating $Z_s(r)$ at ${\cal O}((r-r_h)^n)$, yields$C_{n, n+1}=0$ at order $n,\ \forall n\geq3$. Incredibly, (assumingpreservation of isotropy in $\mathbb{R}^3$ even with the inclusion of HDcorrections) the aforementioned gauge-invariant combination of scalar metricperturbations receives no ${\cal O}(R^4)$ corrections. Hence, (theaforementioned analogs of) $\lambda_L, v_b$ are unrenormalized up to ${\calO}(R^4)$ in ${\cal M}$ theory.

Pole-Skipping and Chaos in Too ${\cal M}$UCH Hot QCD