${\mathscr {M}}$cTEQ (${\mathscr {M}}$ ${\bf c}$hiral perturbation theory-compatible deconfinement ${\bf T}$emperature and ${\bf E}$ntanglement Entropy up to terms ${\bf Q}$uartic in curvature) and FM (${\bf F}$lavor ${\bf M}$emory)

Gopal Yadav; Vikas Yadav; Aalok Misra

doi:10.1007/JHEP10(2021)220

paper

$M$ cTEQ ( $M$ $c$ hiral perturbation theory-compatible deconfinement $T$ emperature and $E$ ntanglement Entropy up to terms $Q$ uartic in curvature) and FM ( $F$ lavor $M$ emory)

arXiv:2108.05372 · doi:10.1007/JHEP10(2021)220

Abstract

A holographic computation of $T_{c}$ at $intermediate coupling$ from M-theory dual of thermal QCD-like theories, has been missing in the literature. Filling this gap, we demonstrate a novel UV-IR mixing, (conjecture and provide evidence for) a non-renormalization beyond 1 loop of $M - c$ hiral perturbation theory arXiv:2011.04660[hep-th]-compatible deconfinement $T$ emperature, and show equivalence with an $E$ ntanglement (as well as Wald) entropy arXiv:0709.2140[hep-th] computation, up to terms $Q$ uartic in curvature. We demonstrate a $F$ lavor- $M$ emory (FM) effect in the M-theory uplifts of the gravity duals, wherein the no-braner M-theory uplift retains the "memory" of the flavor D7-branes of the parent type IIB dual in the sense that a specific combination of the aforementioned quartic corrections to the metric components precisely along the compact part of the non-compact four-cycle "wrapped" by the flavor D7-branes, is what determines, e.g., the Einstein-Hilbert action at O $(R^{4})$ . The same linear combination of O $(R^{4})$ metric corrections, upon matching the phenomenological value of the coupling constant of one of the SU(3) NLO ChPT Lagrangian, is required to have a definite sign. Interestingly, in the decompactification limit of the spatial circle, we $derive$ this, and obtain the values of the relevant O $(R^{4})$ metric corrections. Further, equivalence with Wald entropy for the black hole at $O (R^{4})$ imposes a linear constraint on the same linear combination of metric corrections. Remarkably, when evaluating $T_{c}$ from an entanglement entropy computation in the thermal gravity dual, due to a delicate cancelation between the $O (R^{4})$ corrections from a subset of the abovementioned metric components, one sees that there are no corrections to $T_{c}$ at quartic order supporting the conjecture referred to above.

arXiv commentv2, 1+64 pages, 2 figures, LaTeX; a reference added, the title decrypted/expanded and minor changes made; Published in JHEP, Some typos corrected

$M$ cTEQ ( $M$ $c$ hiral perturbation theory-compatible deconfinement $T$ emperature and $E$ ntanglement Entropy up to terms $Q$ uartic in curvature) and FM ( $F$ lavor $M$ emory)

Abstract

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McTEQ (M chiral perturbation theory-compatible deconfinement Temperature and Entanglement Entropy up to terms Quartic in curvature) and FM (Flavor Memory)

Abstract

References in corpus (34)

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$M$ cTEQ ( $M$ $c$ hiral perturbation theory-compatible deconfinement $T$ emperature and $E$ ntanglement Entropy up to terms $Q$ uartic in curvature) and FM ( $F$ lavor $M$ emory)