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arXiv 0709.1348hep-phhep-lat
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位置空间中的互斥过程与π介子分布振幅

Exclusive processes in position space and the pion distribution amplitude

V. Braun, D. Müller

摘要:

我们建议在真空和强子态(例如π介子)之间的位置空间中进行电流算符的晶格计算,以获得强子光锥分布振幅(DA)。通过这种方式,完全避免了复合晶格算子的重正化问题,并且使用连续统中的微扰理论来连接DA。作为一个例子,计算了两个电磁流的关联函数,达到微扰理论中的次-次-首阶精度,并包括扭转4修正。我们认为,这种策略是完全竞争的直接晶格测量的时刻DA,定义为矩阵元素的本地运营商,并提供了新的见解,在时空图片硬排他的反应。

英文摘要:

We suggest to carry out lattice calculations of current correlators in position space, sandwiched between the vacuum and a hadron state (e.g. pion), in order to access hadronic light-cone distribution amplitudes (DAs). In this way the renormalization problem for composite lattice operators is avoided altogether, and the connection to the DA is done using perturbation theory in the continuum. As an example, the correlation function of two electromagnetic currents is calculated to the next-to-next-to-leading order accuracy in perturbation theory and including the twist-4 corrections. We argue that this strategy is fully competitive with direct lattice measurements of the moments of the DA, defined as matrix elements of local operators, and offers new insight in the space-time picture of hard exclusive reactions.

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