Non-perturbative determination of meson masses and low-energy constants in large-$N$ QCD
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| Format: | Preprint |
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2025
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| author | Bonanno, Claudio Pérez, Margarita García González-Arroyo, Antonio Ishikawa, Ken-Ichi Okawa, Masanori |
| author_facet | Bonanno, Claudio Pérez, Margarita García González-Arroyo, Antonio Ishikawa, Ken-Ichi Okawa, Masanori |
| contents | 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 $Σ$, the pion decay constant $F_π$, and the next-to-leading-order coupling $\bar{\ell}_4$. Using the excited state masses in the $π$ and $ρ$ 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_05446 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-perturbative determination of meson masses and low-energy constants in large-$N$ QCD Bonanno, Claudio Pérez, Margarita García González-Arroyo, Antonio Ishikawa, Ken-Ichi Okawa, Masanori High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory 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 $Σ$, the pion decay constant $F_π$, and the next-to-leading-order coupling $\bar{\ell}_4$. Using the excited state masses in the $π$ and $ρ$ 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. |
| title | Non-perturbative determination of meson masses and low-energy constants in large-$N$ QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.05446 |