论文标题
$η$ -glueball从$ n_f = 2 $ lattice qcd
$η$-glueball mixing from $N_f=2$ lattice QCD
论文作者
论文摘要
我们进行了第一项有关等级伪库的混合的晶格研究，并在$ n_f = 2 $ qcd中的pion mass $m_π\大约350 $ mev中的$ n_f = 2 $ qCD中的伪级粘合球$ g $。 $η$质量确定为$m_η= 714（6）（16）$ MEV。通过Witten-Veneziano关系，该值可以与$ \ Mathrm {su（3）} $ $η$的质量值匹配$ \ sim 981 $ MEV。 Based on a large gauge ensemble, the $η-G$ mixing energy and the mixing angle are determined to be $|x|=107(15)(2)$ MeV and $|θ|=3.46(46)^\circ$ from the $η-G$ correlators that are calculated using the distillation method.我们得出的结论是，$η-g $混合很小，拓扑引起的交互作用贡献了$η$质量的大部分，这是由于qcd $ \ m m i_a（u_a（1）} $异常。
We perform the first lattice study on the mixing of the isoscalar pseudoscalar meson $η$ and the pseudoscalar glueball $G$ in the $N_f=2$ QCD at the pion mass $m_π\approx 350$ MeV. The $η$ mass is determined to be $m_η=714(6)(16)$ MeV. Through the Witten-Veneziano relation, this value can be matched to a mass value of $\sim 981$ MeV for the $\mathrm{SU(3)}$ counterpart of $η$. Based on a large gauge ensemble, the $η-G$ mixing energy and the mixing angle are determined to be $|x|=107(15)(2)$ MeV and $|θ|=3.46(46)^\circ$ from the $η-G$ correlators that are calculated using the distillation method. We conclude that the $η-G$ mixing is tiny and the topology induced interaction contributes most of $η$ mass owing to the QCD $\mathrm{U_A(1)}$ anomaly.
