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Reliability of Taylor expansions in QCD

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arxiv 1810.11045 v2 pith:SIHR7NHW submitted 2018-10-25 hep-lat hep-phnucl-exnucl-th

Bastian B. Brandt , Gergely Endrodi This is my paper · ORCID
classification hep-lathep-phnucl-exnucl-th
keywords taylorexpansionschemicalcomparingconvergenceexpansionpotentialsreliability
verification ladder T0 review T1 audit T2 compute T3 formal
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We investigate the reliability of the Taylor expansion method in QCD with isospin chemical potentials using lattice simulations. By comparing the expansion of the number density to direct results, the range of validity of the leading- and next-to-leading order expansions is determined. We also elaborate on the convergence properties of the Taylor series by comparing the leading estimate for the radius of convergence to the position of the nearest singularity, i.e. the onset of pion condensation. Our results provide a handle for quantifying the uncertainties of Taylor expansions in baryon chemical potentials.

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Cited by 2 Pith papers

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

  1. Renormalization group invariant mean-field model for QCD at finite isospin density

    hep-ph 2025-02 conditional novelty 6.0 of 10

    A renormalization-group invariant mean-field quark-meson model with one fitted scale reproduces lattice QCD thermodynamics at finite isospin density and predicts a multicritical chiral/pion-condensation point in the c...

  2. Minimal superfluid vortices in chiral perturbation theory

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    Leading order chiral perturbation theory yields the minimal energy condition for vortex nucleation in the pion condensed phase, with vortices carrying quantized angular momentum and self-confining pions.

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