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arXiv 0806.2278hep-lathep-th
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格点量子色动力学中的大Nc介子

Mesons at large Nc from lattice QCD

Gunnar Bali, Francis Bursa

摘要:

我们计算了N = 2,3,4,6时,猝灭SU(N)规范理论中π介子和ρ介子的质量.将这些结果外推到手征极限和大N极限,我们发现在固定的晶格间距a \approx 0.2093 sqrt(sigma)\approx 0.093 fm时,ρ介子质量的m_rho =(1.670 +/- 0.024)sqrt(sigma)=(741 +/- 11)MeV,这里我们使用弦张力的(任意)值(444 MeV)^2。我们估计一个连续极限大N值,m_rho = 1.77 +/- 0.05 sqrt(sigma)。我们发现1/N^2修正很小,并将我们的结果与AdS/QCD的预测进行了比较。

英文摘要:

We calculate the pion and rho meson masses in quenched SU(N) gauge theories for N = 2, 3, 4 and 6. Extrapolating these results to the chiral and large-N limits, we find m_rho = (1.670 +/- 0.024) sqrt(sigma) = (741 +/- 11) MeV for the rho meson mass at a fixed lattice spacing a \approx 0.2093 sqrt(sigma) \approx 0.093 fm where we use the (arbitrary) value (444 MeV)^2 for the string tension. We estimate a continuum limit large-N value, m_rho = 1.77 +/- 0.05 sqrt(sigma). We find 1/N^2 corrections to be small and we compare our results to predictions from AdS/QCD.

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