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Lattice Constraints on the QCD Chiral Phase Transition at Finite Temperature and Baryon Density

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arxiv 2111.03590 v1 pith:AQ5NUZYV submitted 2021-11-05 hep-lat

Owe Philipsen This is my paper
classification hep-lat
keywords criticaltransitionbaryondensityphasechiralcrossoverendpoint
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The thermal restoration of chiral symmetry in QCD is known to proceed by an analytic crossover, which is widely expected to turn into a phase transition with a critical endpoint as the baryon density is increased. In the absence of a genuine solution to the sign problem of lattice QCD, simulations at zero and imaginary baryon chemical potential in a parameter space enlarged by a variable number of quark flavours and quark masses constitute a viable way to constrain the location of a possible non-analytic phase transition and its critical endpoint. In this article I review recent progress towards an understanding of the nature of the transition in the massless limit, and its critical temperature at zero density. Combined with increasingly detailed studies of the physical crossover region, current data bound a possible critical point to $\mu_B > 3T$.

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Cited by 6 Pith papers

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

  1. Higher-order hopping-parameter expansion by human-AI collaboration

    hep-lat 2026-06 conditional novelty 6.5 of 10

    Trie-structured algorithms compute κ^8 to κ^12 terms in the hopping expansion of Tr ln M at costs scaling from 20x to 8900x a staple, verified by direct comparison to a reference calculation.

  2. Flavor-Dependent QCD Critical Endpoint and Dual-Channel Fluctuations from Multi-Charge Holography

    hep-ph 2026-07 conditional novelty 6.0 of 10

    A multi-charge holographic QCD model predicts coherent baryon- and charge-fluctuation peaks at sqrt(s_NN) ≈ 5-7 GeV, marking the QCD critical endpoint.

  3. Machine Learning-Based Estimation of Cumulants of Chiral Condensate via Multi-Ensemble Reweighting with Deborah.jl

    hep-lat 2026-02 conditional novelty 5.0 of 10

    Using Tr M^-1 as both an input and a feature, a bias-corrected ML model predicts Tr M^-2..-4 and reproduces chiral-condensate cumulants with ~1% labeled data at ~26% of the original cost.

  4. On the nature of the QCD chiral phase transition with imaginary chemical potential

    hep-lat 2025-12 conditional novelty 5.0 of 10

    First-order chiral regions observed on coarse staggered lattices disappear in tricritical points as the lattice spacing decreases at imaginary chemical potential, implying a second-order continuum transition.

  5. The equation of state and surface tension of QCD in the first order phase transition region

    hep-ph 2025-07 conditional novelty 5.0 of 10

    A parametrized order-parameter model yields the equation of state, spinodal boundaries, and surface tension for the first-order QCD phase transition.

  6. Phase transition of hot dense QCD Matter from a refined holographic EMD model

    hep-ph 2025-07 conditional novelty 4.0 of 10

    A holographic EMD model calibrated to lattice QCD predicts a kappa sigma squared peak at 3 to 5 GeV in heavy-ion collisions, provided the chemical freeze-out curve avoids the first-order transition line.

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