格点上核子分布振幅和质子衰变矩阵元
Nucleon distribution amplitudes and proton decay matrix elements on the lattice
摘要：
重子分布振幅（DA）是硬排他反应理论的关键。本文计算了格点量子色动力学中首扭核子DA的前几阶矩。此外，我们处理的下一个领先（twist-four）DA的正常化。决定后一个量的矩阵元素也是大统一理论中质子衰变的原因。我们的格点计算利用了两种三叶草费米子产生的规范场组态。相关的运营商重整化非微扰的MSbar计划中给出的最终结果。我们发现，领先的扭曲核子DA从它的渐近形式的偏差是不太明显，有时声称在文献中。
英文摘要：
Baryon distribution amplitudes (DAs) are crucial for the theory of hard exclusive reactions. We present a calculation of the first few moments of the leading-twist nucleon DA within lattice QCD. In addition we deal with the normalization of the next-to-leading (twist-four) DAs. The matrix elements determining the latter quantities are also responsible for proton decay in Grand Unified Theories. Our lattice evaluation makes use of gauge field configurations generated with two flavors of clover fermions. The relevant operators are renormalized nonperturbatively with the final results given in the MSbar scheme. We find that the deviation of the leading-twist nucleon DA from its asymptotic form is less pronounced than sometimes claimed in the literature.
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