论文标题
轻率全息QCD中的乳parton分布功能
Pion Parton Distribution Function in Light-Front Holographic QCD
论文作者
论文摘要
数十年来，Pion的价夸克分布函数一直引起人们的关注。特别是，当$ x \ to1 $（大$ x $行为）是长期存在的辩论时，它应该采用的个人资料。在轻型全息QCD（LFHQCD）方法中，此行为由所谓的Reparametrization函数（$w_τ（x）$）控制，该函数并未从第一原理中完全确定。我们表明，由于$w_τ（x）$的灵活性，大$ x $ profile $ u^π（x）\ sim（1-x）^{2} $可以包含在lfhqcd形式主义中。这与先前的LFHQCD研究〜（Guy F. de Teramond等人，Phys。Rev。Lett。，120（18），2018年），其中$ u^π（x）\ sim（1-x）^{1} $而不是找到。鉴于我们的观察结果，受扰动QCD和最近的晶格QCD结果的增强，我们声明“ 2”的$ x $指数不能排除在外。
The valence-quark distribution function of the pion has been of interest for decades; particularly, the profile it should adopt when $x\to1$ (the large-$x$ behavior) is subject of a long-standing debate. In the light-front holographic QCD (LFHQCD) approach, this behavior is controlled by the so called reparametrization function, $w_τ(x)$, which is not fully determined from first principles. We show that, owing to the flexibility of $w_τ(x)$, the large-$x$ profile $u^π(x)\sim (1-x)^{2}$ can be contained within the LFHQCD formalism. This is in contrast with a previous LFHQCD study~(Guy F. de Teramond et al., Phys. Rev. Lett., 120(18), 2018) in which $u^π(x)\sim (1-x)^{1}$ is found instead. Given our observations, augmented by perturbative QCD and recent lattice QCD results, we state that the large-$x$ exponent of "2" cannot be excluded.
