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

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

2003-06-03

arxiv.org/abs/hep-lat/0306004v2

Phys.Rev. D68 (2003) 076003

Physics

High Energy Physics

High Energy Physics - Lattice

43 pages, 1 figure. Minor corrections. One reference added in section I

Scientific paper

10.1103/PhysRevD.68.076003

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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