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Contribution to understanding the phase structure of strong interaction matter: Lee-Yang edge singularities from lattice QCD

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arxiv 2110.15933 v2 pith:CAZSY4Z5 submitted 2021-10-29 hep-lat

classification hep-lat
keywords latticebaryonchemicaledgeexpectedfunctionlee-yangnumber
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a calculation of the net baryon number density as a function of imaginary baryon number chemical potential, obtained with highly improved staggered quarks (HISQ) at temporal lattice extent of $N_\tau=4,6$. We construct various rational function approximations of the lattice data and discuss how poles in the complex plane can be determined from them. We compare our results of the singularities in the chemical potential plane to the theoretically expected positions of the Lee-Yang edge singularity in the vicinity of the Roberge-Weiss and chiral phase transitions. We find a temperature scaling that is in accordance with the expected power law behavior.

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Cited by 3 Pith papers

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

  1. Lee--Yang edge singularities in Nonlocal Nambu--Jona-Lasinio Model

    hep-ph 2025-09 conditional novelty 6.0 of 10

    In a nonlocal NJL model, Lee-Yang edge singularities follow trajectories that end at the QCD critical point, with critical exponent 1.494(1) matching mean-field scaling.

  2. High-precision baryon number cumulants from lattice QCD in a finite box: cumulant ratios, Lee-Yang zeros and critical endpoint predictions

    hep-lat 2025-07 conditional novelty 6.0 of 10

    High-statistics lattice QCD data up to tenth order, analyzed with a Roberge-Weiss-symmetric rational ansatz, place an 84% upper bound of 103 MeV on the QCD critical endpoint temperature.

  3. Exploring the QCD phase diagram through correlations and fluctuations

    nucl-th 2025-12 accept novelty 3.0 of 10

    A synthesis of the QCD critical point search: theoretical estimates cluster at T_C≈100–120 MeV, μ_B≈550–650 MeV, and BES-II cumulant data match non-critical baselines above 10 GeV while 7.7–9 GeV deviations remain une...

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