The large-N limit of the chiral condensate from twisted reduced models

被引:6
作者
Bonanno, Claudio [1 ]
Butti, Pietro [1 ,2 ,3 ]
Perez, Margarita Garcia [1 ]
Gonzalez-Arroyo, Antonio [1 ,4 ]
Ishikawa, Ken-Ichi [5 ,6 ]
Okawa, Masanori [6 ]
机构
[1] Univ Autonoma Madrid, Inst Fis Teor, UAM CSIC, Calle Nicolas Cabrera 13-15, E-28049 Madrid, Spain
[2] Univ Zaragoza, Fac Ciencias, Dept Fis Teor, Calle Pedro Cerbuna 12, E-50009 Zaragoza, Spain
[3] Univ Zaragoza, Ctr Astroparticulas & Fis Altas Energias CAPA, Calle Pedro Cerbuna 12, E-50009 Zaragoza, Spain
[4] Univ Autonoma Madrid, Dept Fis Teor, Modulo 15, E-28049 Madrid, Spain
[5] Hiroshima Univ, Core Res Energet Universe, Grad Sch Adv Sci & Engn, Higashihiroshima, Hiroshima 7398526, Japan
[6] Hiroshima Univ, Grad Sch Adv Sci & Engn, Higashihiroshima, Hiroshima 7398526, Japan
基金
欧盟地平线“2020”;
关键词
1/N Expansion; Chiral Symmetry; Vacuum Structure and Confinement; SYMMETRY-BREAKING; STRING TENSION; TRANSITION; REDUCTION; QCD;
D O I
10.1007/JHEP12(2023)034
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We compute the large-Nlimit of the QCD chiral condensate on the lattice using twisted reduced models, and performing controlled continuum and chiral extrapolations.We perform two different calculations: one consists in extracting the chiral condensate from the quark mass dependence of the pion mass, and the other consists in extracting the chiral condensate from the behaviour of the mode number of the Wilson-Dirac operator for small eigenvalues. We find consistency between the results of the two methods, giving a joint estimate of limN ->infinity Sigma(N)/N= [184(13) MeV]3(MS,mu= 2 GeV, taking the square root of the string tension root sigma= 440 MeV to set the scale), in remarkable agreement with the SU(3) 2-flavor FLAG result
引用
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页数:25
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