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arxiv 2309.15540 v2 pith:SSETBDUE submitted 2023-09-27 hep-lat hep-phhep-th

The large-N limit of the chiral condensate from twisted reduced models

classification hep-lat hep-phhep-th
keywords chiralcondensateconsistsextractinglarge-limitmassmathrm
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute the large-$N$ limit of the QCD chiral condensate on the lattice using twisted reduced models, and performing controlled continuum and chiral extrapolations. We perform two different calculations: one consists in extracting the chiral condensate from the quark mass dependence of the pion mass, and the other consists in extracting the chiral condensate from the behaviour of the mode number of the Wilson-Dirac operator for small eigenvalues. We find consistency between the results of the two methods, giving a joint estimate of $\lim_{N\to\infty}\Sigma(N)/N=[184(13)$ MeV$]^3$ ($\overline{\mathrm{MS}}$, $\mu=2$ GeV, taking the square root of the string tension $\sqrt{\sigma}=440$ MeV to set the scale), in remarkable agreement with the $\mathrm{SU}(3)$ 2-flavor FLAG result.

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Cited by 2 Pith papers

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

  1. The large-$N$ Yang--Mills $\Lambda$-parameter from step scaling

    hep-lat 2026-07 conditional novelty 6.0

    First non-asymptotic-scaling determination of the large-N Yang-Mills Λ-parameter yields √(8t₀)Λ_MS(N=∞) = 0.639(36).

  2. Adiabatic continuity in a partially reduced twisted Eguchi-Kawai model with one adjoint Dirac fermion

    hep-lat 2026-04 unverdicted novelty 6.0

    Simulations of a partially reduced twisted Eguchi-Kawai model with one adjoint Dirac fermion show the Polyakov loop remains near zero for periodic boundary conditions as the compactified circle shrinks, supporting adi...