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Searching for the QCD critical endpoint using multi-point Pad\'e approximations

9 Pith papers cite this work. Polarity classification is still indexing.

9 Pith papers citing it
abstract

Using the multi-point Pad\'e approach, we locate Lee-Yang edge singularities of the QCD pressure in the complex baryon chemical potential plane. These singularities are extracted from singularities in the net baryon-number density calculated in $N_f=2+1$ lattice QCD at physical quark mass and purely imaginary chemical potential. Taking an appropriate scaling ansatz in the vicinity of the conjectured QCD critical endpoint, we extrapolate the singularities on $N_\tau=6$ lattices to pure real baryon chemical potential to estimate the position of the critical endpoint (CEP). We find $T^{\rm CEP}=105^{+8}_{-18}$~ MeV and $\mu_B^{\rm CEP} = 422^{+80}_{-35}$~ MeV, which compares well with recent estimates in the literature. For the slope of the transition line at the critical point we find $-0.16(24)$.

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2026 9

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representative citing papers

QCD critical surface from constant entropy contours

nucl-th · 2026-06-26 · unverdicted · novelty 8.0

First mapping of the QCD critical surface in full (T, μ_B, μ_Q, μ_S) space via constant-entropy expansion gives a critical point at (114, 602) MeV in the pure baryon direction, with μ_B,c shifting 40-100 MeV in strangeness-neutral directions while remaining similar in charge-neutral ones.

Fierz-complete four-quark interactions and the QCD phase diagram

hep-ph · 2026-07-08 · conditional · novelty 6.0

Including Fierz-complete four-quark interactions in fRG-QCD shifts the predicted critical endpoint to (T, μ_B) = (102, 647) MeV and slightly increases the phase boundary curvature to κ₂ = 0.0151, while confirming σ and π channels dominate except near the CEP.

Lee-Yang zeros and edge singularity in a mean-field approach

hep-ph · 2026-05-19 · unverdicted · novelty 4.0

The study analyzes temperature dependence of Lee-Yang zeros and edge singularities in a finite-volume mean-field QCD model and compares finite-size scaling methods for identifying the critical point.

Lattice QCD at finite temperature and density

hep-lat · 2026-03-17 · unverdicted · novelty 2.0

A review of lattice QCD findings on the finite-temperature QCD transition at zero baryon chemical potential, its chiral limit behavior, constraints on the phase boundary and critical endpoint at finite density, plus advances under external fields and conditions.

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