Meson masses and decay constants at large N

Okawa, M.; Pérez, Margarita Garcı́a; González-Arroyo, Antonio

doi:10.22323/1.256.0319

Cited by 2 publications

(2 citation statements)

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“…The value of the ρ mass shows a linear dependence in the PCAC quark mass, as expected at leading order in chiral perturbation theory in the large N limit [59] dependence is displayed in figure 9 for all our lattices. By performing a simultaneous fit to all the points with physical size l(b, n) ≥ 3.4, we obtain an intercept in the chiral limit given by m (33), fitting instead all points leads to a compatible value m (26), slightly worsening the value ofχ from 0.44 to 1.0. We have also performed independent fits to each data set, keeping b and N fixed.…”

Section: The Vector Channelmentioning

confidence: 96%

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Meson spectrum in the large N limit

Pérez

González-Arroyo

Okawa

2021

J. High Energ. Phys.

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We present the result of our computation of the lowest lying meson masses for SU(N) gauge theory in the large N limit (with Nf /N → 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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Section: The Vector Channelmentioning

confidence: 96%

“…[31]. Several tests and technical improvements, as well as partial results have been presented in other works [32][33][34]. The meson spectrum has also been investigated by other authors using different techniques.…”

Section: Introductionmentioning

confidence: 99%