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arXiv 1908.08640hep-lat
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G-宇称边界条件下的格点模拟

Lattice simulations with G-parity Boundary Conditions

Norman Christ, Christopher Kelly, Daiqian Zhang

摘要:

我们讨论了G-宇称晶格边界条件作为一种手段,在不破坏同位旋对称性的情况下,对π基态施加动量。这种技术预计将是关键的精确测量的$K\rightarrow(ππ)_{I=0}$矩阵元素的物理运动学要求移动π介子在最终状态和统计噪声所造成的断开的贡献将很难使用多指数拟合隔离这作为一个激发态。我们提出了一种计算强子格林函数的形式与G-宇称边界条件,推导出离散的作用量和它的对称性,讨论如何可以引入奇怪的夸克和细节技术,这些边界条件的数值实现。我们证明和测试这些方法使用几个$16^3\times 32$动力学域壁合奏与$420$兆电子伏π介子质量和G-宇称边界条件在一个和两个空间方向。

英文摘要:

We discuss G-parity lattice boundary conditions as a means to impose momentum on the pion ground state without breaking isospin symmetry. This technique is expected to be critical for the precision measurement of $K\rightarrow(ππ)_{I=0}$ matrix elements where physical kinematics demands moving pions in the final state and the statistical noise caused by disconnected contributions will make it difficult to use multi-exponential fits to isolate this as an excited state. We present a formalism for computing hadronic Green's functions with G-parity boundary conditions, derive the discretized action and its symmetries, discuss how the strange quark can be introduced and detail techniques for the numerical implementation of these boundary conditions. We demonstrate and test these methods using several $16^3\times 32$ dynamical domain wall ensembles with a $420$ MeV pion mass and G-parity boundary conditions in one and two spatial directions.

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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