论文标题
$ n_f = 3 $ lattice QCD的领先订单中间和重型SU(3)低能常数
Leading order mesonic and baryonic SU(3) low energy constants from $N_f = 3$ lattice QCD
论文作者
论文摘要
我们确定领先的订单中官〜($ b_0 $和$ f_0 $)和baryonic〜($ m_0 $,$ d $和$ f $)su(3)手性扰动理论低能QCD。我们使用$ n_f = 3 $(即$ m_u = m_u = m_d = m_s $)非扰动地改进的威尔逊·费米子(Wilson Fermions)以六个不同的晶格间距为$ a \ a \ a \(0.039-0.098)$ fm的六个不同的值,该量子限制了consopinated lattice lattice simunce(clsemunce eens eens eens eens eens eens eens consement et eens eens eens)(clsemunce),伪尺度梅森质量$m_π$从$ 430 $ MEV降至$ 240 $ MEV和线性的空间晶格范围$ l $ $ l $ $ l $从$ 6.4 \,m_π^{ - 1} $到$ 3.3 \ $ 3.3 \,m_π^{ - 1} $这使我们能够对所有低能常数进行受控外推到手性,无限的体积和连续限制。我们发现SU(3)手性冷凝物和$ F_0 $比其SU(2)小,而Gell-Mann-Oakes-Oakes-lenner参数$ B_0 \ of B $相似。关于Baryonic Lecs,我们获得$ f/d = 0.612^{(14)} _ {(12)} $。
We determine the leading order mesonic~($B_0$ and $F_0$) and baryonic~($m_0$, $D$ and $F$) SU(3) chiral perturbation theory low energy constants from lattice QCD. We employ gauge ensembles with $N_f=3$ (i.e., $m_u=m_d=m_s$) non-perturbatively improved Wilson fermions at six distinct values of the lattice spacing in the range $a\approx (0.039 - 0.098)$ fm, which constitute a subset of the Coordinated Lattice Simulations (CLS) gauge ensembles. The pseudoscalar meson mass $M_π$ ranges from around $430$ MeV down to $240$ MeV and the linear spatial lattice extent $L$ from $6.4\,M_π^{-1}$ to $3.3\,M_π^{-1}$, where $ L M_π\geq 4$ for the majority of the ensembles. This allows us to perform a controlled extrapolation of all the low energy constants to the chiral, infinite volume and continuum limits. We find the SU(3) chiral condensate and $F_0$ to be smaller than their SU(2) counterparts while the Gell-Mann--Oakes--Renner parameters $B_0\approx B$ are similar. Regarding baryonic LECs, we obtain $F/D = 0.612^{(14)}_{(12)}$.