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Critical endpoint of QCD in a finite volume

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arxiv 2107.05504 v2 pith:PV6ORCSL submitted 2021-07-12 hep-ph

Julian Bernhardt , Christian S. Fischer , Philipp Isserstedt , Bernd-Jochen Schaefer This is my paper · ORCID
classification hep-ph
keywords criticalendpointvolumefiniteinfinite-volumelargelimitlocation
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abstract

We investigate the impact of finite volume and the corresponding restrictions on long-range correlations on the location of the critical endpoint in the QCD phase diagram. To this end, we employ a sophisticated combination of lattice Yang--Mills theory and a (truncated) version of Dyson--Schwinger equations in Landau gauge for $2 + 1$ quark flavors that has been studied extensively in the past. In the infinite-volume limit, this system predicts a critical endpoint at moderate temperature and large chemical potential. We study this system at small and intermediate volumes and determine the dependence of the location of the critical endpoint on the boundary conditions and the volume of a three-dimensional cube with edge length $L$. We demonstrate that noticeable volume effects of more than five percent only occur for $L \lesssim 5 \, \text{fm}$ and that volumes as large as $L^3 \gtrsim (8 \, \text{fm})^3$ are very close to the infinite-volume limit.

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Cited by 4 Pith papers

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

  1. Finite-size effects and scaling properties of chiral and baryon-number fluctuations

    hep-ph 2025-10 conditional novelty 5.0 of 10

    In an effective chiral model retaining only the zero field mode, finite volume smooths the transition, regulates critical fluctuations, and shifts the baryon-kurtosis peak to lower collision energies.

  2. Dynamical quark mass and finite volume effects in the Dyson-Schwinger Equations

    hep-ph 2025-08 conditional novelty 4.0 of 10

    In a Dyson-Schwinger model with spherical finite-volume corrections and magnetic-field-dependent coupling, constituent quark masses fall by about 30-40% as the fireball radius shrinks from infinity to 2 fm.

  3. Finite size effects on the phase diagram and the baryon fluctuations via momentum space constraints

    hep-ph 2024-12 conditional novelty 4.0 of 10

    Finite-volume momentum-space constraints in a mean-field quark-meson model shift the critical endpoint significantly for L<10 fm and displace baryon fluctuation signals, with the shift direction depending on the chose...

  4. 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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