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Low-lying meson spectrum of large $N_C$ strongly coupled lattice QCD

G. Grignani·D. Marmottini·P. Sodano
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Abstract

We compute the low energy mass spectrum of lattice QCD in the large $N_C$ limit. Expanding around a gauge-invariant ground state, which spontaneously breaks the discrete chiral symmetry, we derive an improved strong-coupling expansion and evaluate, for any value of $N_C$, the masses of the low-lying states in the unflavored meson spectrum. We then take the 't Hooft limit by rescaling $g^2 N_C\to g^2$; the 't Hooft limit is smooth and no arbitrary parameters are needed. We find, already at the fourth order of the strong coupling perturbation theory, a very good agreement between the results of our lattice computation and the known continuum values.

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G. Grignani, D. Marmottini, P. Sodano. 2003-11-18. Low-lying meson spectrum of large $N_C$ strongly coupled lattice QCD. https://doi.org/10.1103/physrevd.68.076003

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