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Lattice study of the chiral properties of large $N_c$ QCD

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arxiv 2309.12270 v1 pith:VSRZ4ZJ3 submitted 2023-09-21 hep-lat

classification hep-lat
keywords massnextchiralconstantsenergylatticeleadingorder
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a lattice calculation of the low energy constants of QCD with $N_c=3$, 4 and 5 colors and $N_f=2$ flavors of degenerate mass fermions. We fit data for the pseudoscalar meson mass, the pseudoscalar decay constant, and the Axial Ward Identity fermion mass to formulas from next to next to leading order chiral perturbation theory. We extract the next to leading order low energy constants and study their behavior as a function of $N_c$. Pre-existing analyses of $N_c=3$ inform our fitting strategies.

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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. The mass of the gluino-glue bound state in large-$N$ $\mathcal{N}=1$ Supersymmetric Yang-Mills theory

    hep-lat 2024-12 conditional novelty 7.0 of 10

    A first-principles lattice calculation determines the mass of the gluino-glue bound state in N=1 supersymmetric Yang-Mills theory in the large-N limit.

  2. Comparison of a pseudoscalar meson form factor in QCD with 3, 4, and 5 colors

    hep-lat 2024-12 conditional novelty 5.0 of 10

    Measurements of the pseudoscalar meson vector form factor in SU(3), SU(4), and SU(5) lattice QCD show that its shape is nearly independent of Nc and roughly follows vector meson dominance.

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