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arXiv 1610.01752hep-phhep-lat
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π介子和介子的有效场论

Effective field theory for pions and a dilatonic meson

Maarten Golterman, Yigal Shamir

摘要:

对类QCD理论的数值模拟表明,它是手性破缺的,但表现出一个非常小的β函数,揭示了一个味道单重标量,或“介子介子”,它比除π介子之外的任何其他状态都轻得多。我们发展了一个系统的低能展开的π介子和π介子,其中后者的存在归因于一个近似的标度对称性。为了证明功率计数,我们调用Veneziano极限,其中基本表示中的风味$N_f$的数量与颜色$N_c$的数量成比例地增长,而比率$N_f/N_c$保持接近但低于进入共形窗口的临界值。

英文摘要:

Numerical simulations of QCD-like theories which are chirally broken but exhibit a very small beta function reveal a flavor-singlet scalar, or "dilatonic meson," which is much lighter than any other states except pions. We develop a systematic low-energy expansion for the pions and the dilatonic meson, in which the presence of the latter is attributed to an approximate scale symmetry. In order to justify the power counting we invoke the Veneziano limit, in which the number of flavors $N_f$ in the fundamental representation grows in proportion with the number of colors $N_c$, while the ratio $N_f/N_c$ is kept close to, but below, the critical value where the conformal window is entered.

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