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arXiv 0710.3571hep-lat
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用全对全夸克算符构造核子算符的群论

Group Theoretical Construction of Nucleon Operators using All-to-All Quark Propagators

R. G. Edwards, G. T. Fleming, B. Joo, K. J. Juge, A. Lichtl, C. J. Morningstar, D. G. Richards, S. J. Wallace

摘要:

我们描述了一种利用全对全夸克传播子构造不可约重子算符的方法。早先已经证明,在各向异性的淬灭晶格上的扩展重子算符的大基可以用来可靠地提取核子通道中5个或更多激发态的质量。在研究这些轻动力学组态上的激发态时,期望需要全对全夸克传播子,因为期望来自多粒子态的贡献是显著的。用稀释法近似全对全夸克传播子。如果需要,也可以使用低位本征模。为了有效地计算插值算子的矩阵元,算法应该利用这样一个事实,即许多扩展重子算子可以从三夸克色单态算子的不同线性组合中获得。稀释噪声向量的稀疏性也提供了几个计算简化。给出了核子有效质量的一些初步结果。

英文摘要:

We describe a method to construct irreducible baryon operators using all-to-all quark propagators. It was demonstrated earlier that a large basis of extended baryon operators on anisotropic, quenched lattices can be used to reliably extract the masses of 5 or more excited states in the nucleon channel. All-to-all quark propagators are expected to be needed when studying these excited states on light, dynamical configurations because contributions from multi-particle states are expected to be significant. The dilution method is used to approximate the all-to-all quark propagators. Low-lying eigenmodes can also be used if necessary. For efficient computation of matrix elements of the interpolating operators, the algorithms should exploit the fact that many extended baryon operators can be obtained from the different linear combinations of three-quark colour-singlet operators. The sparseness of the diluted noise vectors also afford several computation simplifications. Some preliminary results are presented for nucleon effective masses.

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