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arXiv 0708.0207hep-lathep-phhep-thnucl-th
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不稳定π介子:格点量子色动力学中的轨道折叠边界条件和噪声抑制

Restless pions: orbifold boundary conditions and noise suppression in lattice QCD

Paulo F. Bedaque, Andre Walker-Loud

摘要:

格点量子色动力学中一个或多个重子的研究受到信噪比随时间指数衰减的严重阻碍。信噪比降低的速率是π介子质量的函数。更准确地说,它取决于盒子中允许的最小π介子能量,对于周期性边界条件,它等于它的质量。我们提出了一组由“宇称轨道”结构给出的边界条件,它消除了零动量π介子模,在不改变QCD基态的情况下提高了最小π介子能量,从而改善了(多)重子关联函数在长欧氏时间下的信噪比.我们讨论了这些“不安分的π介子”边界条件的变化,并专注于它们对核力研究的影响。

英文摘要:

The study of one or more baryons in lattice QCD is severely hindered by the exponential decay in time of the signal-to-noise ratio. The rate at which the signal-to-noise decreases is a function of the the pion mass. More precisely, it depends on the minimum allowed pion energy in the box, which, for periodic boundary conditions, is equal to its mass. We propose a set of boundary conditions, given by a "parity orbifold'' construction, which eliminates the zero momentum pion modes, raising the minimum pion energy without altering the QCD ground state, and thereby improving the signal-to-noise ratio of (multi)-baryon correlation functions at long Euclidean times. We discuss variations of these "restless pions" boundary conditions and focus on their impact on the study of nuclear forces.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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