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arXiv · 2508.05446

Non-perturbative determination of meson masses and low-energy constants in large-$N$ QCD

Claudio Bonanno·Margarita García Pérez·Antonio González-Arroyo·Ken-Ichi Ishikawa·Masanori Okawa
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Abstract

We provide first-principles non-perturbative determinations of the low-lying meson mass spectrum of large-$N$ QCD in the 't Hooft limit $N_{\scriptscriptstyle{\rm f}}/N\to 0$, as well as of three low-energy constants appearing in the QCD chiral expansion: the quark condensate $\Sigma$, the pion decay constant $F_\pi$, and the next-to-leading-order coupling $\bar{\ell}_4$. Using the excited state masses in the $\pi$ and $\rho$ channels, we are able to investigate the behavior of their radial Regge trajectories. Concerning QCD low-energy constants, we are able to assess the magnitude of sub-leading corrections in $1/N$ by combining our $N=\infty$ results with previous finite-$N$ determinations. Our calculation exploits large-$N$ twisted volume reduction to efficiently perform numerical Monte Carlo simulations of the large-$N$ lattice discretized theory. We employ several values of $N$ up to $N=841$, 5 values of the lattice spacing, and several values of the quark mass, to achieve controlled continuum and chiral extrapolations.

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Claudio Bonanno, Margarita García Pérez, Antonio González-Arroyo, Ken-Ichi Ishikawa, Masanori Okawa. 2025-08-07. Non-perturbative determination of meson masses and low-energy constants in large-$N$ QCD. https://arxiv.org/abs/2508.05446

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