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arXiv 0910.3755hep-lat
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格上g-2的新想法

New ideas for g-2 on the lattice

Michele Della Morte, Andreas Juttner

摘要:

利用同位旋对称性,在N_f=2味的理论中,夸克连接和非连接对强子真空极化的贡献可以分别描述为独立的关联函数。我们展示了如何使用扭曲的边界条件的连接的贡献,以提高在格点量子色动力学的q^2-分辨率。此外,我们推导了在手征微扰理论中,非线性光学中连通和非连通贡献之间的精确关系。我们讨论的理论扩展超过2个动力学的味道。

英文摘要:

Using iso-spin symmetry the quark-connected and disconnected contributions to the hadronic vacuum polarisation in a theory with N_f=2 flavours can be described as independent correlation functions, respectively. We show how this allows to use twisted boundary conditions for the connected contribution in order to improve the q^2-resolution in lattice QCD. Furthermore we derive an exact relation between the connected and the disconnected contributions at NLO in chiral perturbation theory. We discuss extensions to theories with more than 2 dynamical flavours.

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