<p>We provide first-principles non-perturbative determinations of the low-lying meson mass spectrum of large-<i>N</i> QCD in the ’t Hooft limit <i>N</i><sub>f</sub>/<i>N</i> → 0, as well as of three low-energy constants appearing in the QCD chiral expansion: the quark condensate Σ, the pion decay constant <i>F</i><sub><i>π</i></sub>, and the next-to-leading-order coupling <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({\overline{{\ell}} }_{4}\)</EquationSource> </InlineEquation>. Using the excited state masses in the <i>π</i> and <i>ρ</i> 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/<i>N</i> by combining our <i>N</i> = ∞ results with previous finite-<i>N</i> determinations. Our calculation exploits large-<i>N</i> twisted volume reduction to efficiently perform numerical Monte Carlo simulations of the large-<i>N</i> lattice discretized theory. We employ several values of <i>N</i> up to <i>N</i> = 841, 5 values of the lattice spacing, and several values of the quark mass, to achieve controlled continuum and chiral extrapolations.</p>

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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

摘要

We provide first-principles non-perturbative determinations of the low-lying meson mass spectrum of large-N QCD in the ’t Hooft limit Nf/N → 0, as well as of three low-energy constants appearing in the QCD chiral expansion: the quark condensate Σ, the pion decay constant Fπ, and the next-to-leading-order coupling \({\overline{{\ell}} }_{4}\) . 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 = ∞ 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.