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On the QCD critical point, Lee-Yang edge singularities and Pade resummations

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arxiv 2312.06952 v2 pith:VR2WBXTQ submitted 2023-12-12 hep-th nucl-th

On the QCD critical point, Lee-Yang edge singularities and Pade resummations

classification hep-th nucl-th
keywords approxcriticalpointedgeestimatelee-yangpadesingularities
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We analyze the trajectory of the Lee-Yang edge singularities of the QCD equation of state in the complex baryon chemical potential ($\mu_B$) plane for different values of the temperature by using the recent lattice results for the Taylor expansion coefficients up to eighth order in $\mu_B$ and various resummation techniques that blend in Pade expansions and conformal maps. By extrapolating from this information, we estimate for the location of the QCD critical point, $ T_c \approx 100$ MeV, $\mu_c \approx 580$ MeV. We also estimate the crossover slope at the critical point to be $\alpha_1 \approx 9^\circ$ and further constrain the non-universal mapping parameters between the three dimensional Ising model and QCD equations of state.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. QCD critical surface from constant entropy contours

    nucl-th 2026-06 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 strang...

  2. Analytic structure of the QCD phase diagram in the complex-temperature plane

    hep-th 2026-06 unverdicted novelty 7.0

    Extracts the continuum location of the nearest complex-T singularity from lattice QCD at μ=0 via iterated conformal-Padé and shows its trajectories share the same scaling variables as complex-μ singularities.

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

    hep-ph 2026-07 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 an...

  4. Chiral first order phase transition at finite baryon density and zero temperature from self-consistent pole masses in the linear sigma model with quarks

    hep-ph 2026-04 unverdicted novelty 5.0

    In the two-flavor linear sigma model with quarks, the chiral phase transition at T=0 is first order and occurs at a quark chemical potential equal to the vacuum quark mass.

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

    hep-ph 2026-05 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.

  6. Lattice QCD at finite temperature and density

    hep-lat 2026-03 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 a...