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Meson spectrum in the large $N$ limit

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arxiv 2011.13061 v1 pith:5SKM4NJG submitted 2020-11-25 hep-lat hep-phhep-th

Margarita García Pérez , Antonio González-Arroyo , Masanori Okawa This is my paper · ORCID
classification hep-lathep-phhep-th
keywords largevalueserrorsfermionsgaugelatticelimitmasses
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present the result of our computation of the lowest lying meson masses for SU(N) gauge theory in the large $N$ limit (with $N_f/N\longrightarrow 0$). The final values are given in units of the square root of the string tension, and with errors which account for both statistical and systematic errors. By using 4 different values of the lattice spacing we have seen that our results scale properly. We have studied various values of $N$ (169, 289 and 361) to monitor the N-dependence of the most sensitive quantities. Our methodology is based upon a first principles approach (lattice gauge theory) combined with large $N$ volume independence. We employed both Wilson fermions and twisted mass fermions with maximal twist. In addition to masses in the pseudoscalar, vector, scalar and axial vector channels, we also give results on the pseudoscalar decay constant and various remormalization factors.

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Cited by 4 Pith papers

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    First non-asymptotic-scaling determination of the large-N Yang-Mills Λ-parameter yields √(8t₀)Λ_MS(N=∞) = 0.639(36).

  4. The gluino condensate of large-$N$ SUSY Yang-Mills

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