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Towards quantitative precision in the chiral crossover: masses and fluctuation scales

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arxiv 1409.8414 v1 pith:RIAGWQQW submitted 2014-09-30 hep-ph hep-thnucl-th

classification hep-phhep-thnucl-th
keywords correctscaleseffectivefluctuationimportantlow-energymassesmesonic
verification ladder T0 review T1 audit T2 compute T3 formal
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We investigate the relation between the physical pion pole and screening masses and the mesonic fluctuation scale in low-energy QCD, which relates to the curvature of the mesonic effective potential. This relation is important for the correct relative weight of quantum, thermal and density fluctuations. Hence, it governs the location of phase boundaries as well as the phase structure of QCD. The identification of the correct physics scales is also primarily important for the correct adjustment of the parameters of effective models for low-energy QCD. It is shown that subject to an appropriate definition of the latter, all these scales agree at vanishing temperature, while they deviate from each other at finite temperature.

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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. Quantum critical fan and emergent relativistic symmetry of two-dimensional Dirac semimetals

    cond-mat.str-el 2026-07 conditional novelty 6.0 of 10

    A functional-RG calculation maps the chiral Ising Gross-Neveu-Yukawa phase diagram, confirming emergent relativistic symmetry at the quantum critical point and 2D Ising behavior at the finite-temperature transition.

  2. Scalar diquarks in the QCD vacuum

    hep-ph 2026-06 unverdicted novelty 6.0 of 10

    A first-principles FRG approach to two-flavor QCD derives low-energy constants for the pion, sigma-meson and scalar diquark without parameters beyond QCD itself, including new diquark properties for color-superconduct...

  3. Diquark Correlators and Phase Structure in the Quark-Meson-Diquark Model beyond Mean Field

    hep-ph 2026-05 unverdicted novelty 6.0 of 10

    Including mesonic fluctuations beyond mean field substantially modifies the phase structure of the quark-meson-diquark model, with diquark condensation dominating for strong couplings as analyzed via diquark pole mass...

  4. Critical scaling for spectral functions

    hep-th 2025-06 conditional novelty 5.0 of 10

    A spectral renormalisation group computation extracts the anomalous dimension eta ~ 0.1 for 2+1-dimensional phi^4 theory in the scaling regime, within a truncated approximation.

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