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arXiv 0711.4072hep-lat
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关联函数矩阵的谱结构

The Spectral Structure of Correlator Matrices

Adam C. Lichtl

摘要:

在格点量子色动力学谱计算中,需要在每个对称通道中获得多个激发态能量。通常,一个构造几个插值算子的对称通道的利益,形成的“关联函数矩阵”的所有可能的两点功能,并使用变分法,以获得尽可能多的能级。我们提出了一个详细的看看这最后一步,从关联函数矩阵的对称性和频谱结构的讨论开始。我们继续通过激励和描述变分方法,在讨论一些概念和实践的挑战,关于轻重子部门。最后,我们提到目前正在研究的一些替代光谱提取方法。在整个过程中,我们试图量化所有的近似和假设,我们说明了我们的点使用核子关联函数矩阵估计动态双味晶格数据。

英文摘要:

In lattice QCD spectrum calculations, it is desirable to obtain multiple excited state energies in each symmetry channel. Typically, one constructs several interpolating operators for the symmetry channel of interest, forms the `correlator matrix' of all possible two-point functions, and uses the variational method to obtain as many energy levels as possible. We present a detailed look at this last step, starting from a discussion of the symmetry properties and spectral structure of the correlator matrix. We continue by motivating and describing the variational method, before discussing some conceptual and practical challenges concerning the light baryon sector. We conclude by mentioning some alternate spectrum extraction methods currently under study. Throughout, we attempt to quantify all approximations and assumptions, and we illustrate our points using a nucleon correlator matrix estimated on dynamical two-flavor lattice data.

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