The Relation between the Perturbative QCD Scale Λ_s and Hadronic Masses from Light-Front Holography

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• 作者：A. Deur^a ; ^{deurpam@jlab.org" class="auth_mail" title="E-mail the corresponding author} ; S.J. Brodsky^b ; G.F. de Teramond^c
• 关键词：QCD ; ΛsΛs ; Strong coupling αsαs ; Hadron spectrum ; AdS/CFT ; Light Front holography
• 刊名：Nuclear and Particle Physics Proceedings
• 出版年：2016
• 出版时间：January-March 2016
• 年：2016
• 卷：270-272
• 期：Complete
• 页码：88-92
• 全文大小：359 K

文摘

QCD is well understood at short distances where perturbative calculations are feasible. Establishing an explicit analytic connection between the short-distance regime and the large-distance physics of quark confinement has been a long-sought goal. A major challenge is to relate the scale Λ_s${\mathrm{\Lambda }}_s$ underlying the evolution of the QCD coupling in the perturbative regime to the masses of hadrons. We show here how new theoretical insights into the behavior of QCD at large distances leads to such a relation. The resulting prediction for Λ_s${\mathrm{\Lambda }}_s$ in the $\overline{MS}$ scheme agrees well with experimental measurements. Conversely, the relation can be used to predict the masses of hadrons composed of light quarks with the measured value of Λ_s${\mathrm{\Lambda }}_s$ as the sole parameter. We also use “light-front holography” to determine the analytic form of α_s(Q²)${\alpha }_s(Q^2)$ at small Q²$Q^2$.