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arXiv 0810.1495hep-latnucl-th
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味扭曲边界条件与核子矢量流

Flavor Twisted Boundary Conditions and the Nucleon Vector Current

F. -J. Jiang, B. C. Tiburzi

摘要:

利用味扭曲边界条件,研究了矢量流的核子矩阵元。我们只扭曲与电流耦合的活跃夸克。利用我们发展的阶跃群SU(7)的部分扭曲、部分猝灭的重子手征微扰理论,确定了扭曲边界条件引起的有限体积修正|5)。渐近地,这些修正在体积上是指数小的,但是对于小的扭转角可以变得明显。利用Breit框架不会减轻核子矢量流矩阵元素的体积校正。导出的表达式将允许更好地控制提取的等矢量磁矩和电磁半径从模拟在零晶格动量。此外,我们的形式可以应用于任何核子矩阵元。

英文摘要:

Using flavor twisted boundary conditions, we study nucleon matrix elements of the vector current. We twist only the active quarks that couple to the current. Finite volume corrections due to twisted boundary conditions are determined using partially twisted, partially quenched, heavy baryon chiral perturbation theory, which we develop for the graded group SU(7|5). Asymptotically these corrections are exponentially small in the volume, but can become pronounced for small twist angles. Utilizing the Breit frame does not mitigate volume corrections to nucleon vector current matrix elements. The derived expressions will allow for better controlled extractions of the isovector magnetic moment and the electromagnetic radii from simulations at zero lattice momentum. Our formalism, moreover, can be applied to any nucleon matrix elements.

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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