非对称帧中的GPD
GPDs in asymmetric frames
摘要：
广义部分子分布（GPD）通常被认为是在“对称”框架中定义的，在这个框架中，传递的动量在进入/离开的强子之间是对称分布的。然而，这样的框架提出了计算的挑战，格点量子色动力学从业者。在这些工作中，我们为在“非对称”框架下的GPD的格点量子色动力学计算奠定了基础，在“非对称”框架中，转移的动量在进入/离开的强子之间不是对称分布的。我们工作的新颖性依赖于矩阵元素的洛伦兹不变振幅的参数化，这不仅有助于建立所述帧之间的关系，而且有助于隔离较高的扭曲污染。作为一个例子，我们集中在非极化的自旋1/2粒子的GPD。
英文摘要：
It is often taken for granted that Generalized Parton Distributions (GPDs) are defined in the "symmetric" frame, where the transferred momentum is symmetrically distributed between the incoming/outgoing hadrons. However, such frames pose computational challenges for the lattice QCD practitioners. In these proceedings, we lay the foundation for lattice QCD calculations of GPDs in "asymmetric" frames, where the transferred momentum is not symmetrically distributed between the incoming/outgoing hadrons. The novelty of our work relies on the parameterization of the matrix elements in terms of Lorentz-invariant amplitudes, which not only helps in establishing relations between the said frames but also helps in isolating higher-twist contaminations. As an example, we focus on the unpolarized GPDs for spin-1/2 particles.
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