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arxiv 2011.13061 v1 pith:5SKM4NJG submitted 2020-11-25 hep-lat hep-phhep-th

Meson spectrum in the large N limit

classification hep-lat hep-phhep-th
keywords largevalueserrorsfermionsgaugelatticelimitmasses
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present the result of our computation of the lowest lying meson masses for SU(N) gauge theory in the large $N$ limit (with $N_f/N\longrightarrow 0$). The final values are given in units of the square root of the string tension, and with errors which account for both statistical and systematic errors. By using 4 different values of the lattice spacing we have seen that our results scale properly. We have studied various values of $N$ (169, 289 and 361) to monitor the N-dependence of the most sensitive quantities. Our methodology is based upon a first principles approach (lattice gauge theory) combined with large $N$ volume independence. We employed both Wilson fermions and twisted mass fermions with maximal twist. In addition to masses in the pseudoscalar, vector, scalar and axial vector channels, we also give results on the pseudoscalar decay constant and various remormalization factors.

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Cited by 3 Pith papers

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

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    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

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    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...

  3. Scale setting of SU($N$) Yang--Mills theory, topology and large-$N$ volume independence

    hep-lat 2025-11 unverdicted novelty 5.0

    Gradient-flow scales are set for SU(3), SU(5), SU(8) and large-N Yang-Mills down to 0.025 fm using twisted volume reduction and topology-taming algorithms.