Glueball spectrum from an anisotropic lattice study
Glueball spectrum from an anisotropic lattice study
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DOI：
10.1103/physrevd.60.034509
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发表时间：
1999-01
影响因子：
5
通讯作者：
C. Morningstar;M. Peardon
中科院分区：
文献类型：
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作者：
C. Morningstar;M. Peardon
消除所有其他不需要的状态。进行额外的小体积模拟以帮助识别并研究有限体积的系统误差。最后，通过将能量外推到连续极限并确定连续自旋量子数来处理离散化误差。最终结果是对 4 GeV 以下的纯规范理论中的胶球光谱进行了近乎完整的调查。我们总共找到了 13 个胶球；另外两名暂定候选人也已找到。除了 0 11 扇区中的轻胶球之外，我们的结果显着改善了先前研究 @2‐4# 完整低洼胶球光谱的结果。本文的结构如下。模拟的细节，包括胶球算子的构造、规范场配置的生成、从相关函数的蒙特卡罗估计中提取能量，以及根据强子尺度 r 0 确定晶格间距，在第 2 节中进行了描述。二.本节介绍了我们根据逆时间晶格间距进行的所有能量估计。在秒。 III，讨论了单胶球态与双胶球态和托雷隆对态的区别。有限体积的系统误差在第二节中进行了研究。四．晶格间距误差的消除，包括对连续体极限的外推和连续体自旋量子数的识别，在第二节中描述。 V. 我们还在本节中讨论有问题的标量状态，并列举了为减少其离散化误差而正在进行的努力。第六节对频谱进行了讨论，我们的研究结果在最后的章节中总结了未来工作的大纲。七．
away all of the other unwanted states. An additional smallvolume simulation is done to assist in this identification and to study the systematic errors from finite volume. Finally, discretization errors are treated by extrapolating the energies to the continuum limit and determining the continuum spin quantum numbers. The end result is a nearly complete survey of the glueball spectrum in the pure gauge theory below 4 GeV. We find a total of 13 glueballs; two other tentative candidates are also located. With the exception of the light glueballs in the 0 11 sector, our results significantly improve upon those from previous studies @2‐4# of the complete lowlying glueball spectrum. This paper is organized as follows. The details of the simulations, including the construction of the glueball operators, the generation of the gauge-field configurations, the extraction of energies from Monte Carlo estimates of the correlation functions, and the lattice spacing determinations in terms of the hadronic scale r 0, are described in Sec. II. All of our energy estimates in terms of the inverse temporal lattice spacing are presented in this section. In Sec. III, the differentiation of single glueball states from two-glueball and torelon-pair states is discussed. Systematic errors from finite volume are studied in Sec. IV. The removal of lattice spacing errors, including the extrapolations to the continuum limit and the identification of the continuum spin quantum numbers, is described in Sec. V. We also discuss the problematical scalar states in this section and cite ongoing efforts to reduce their discretization errors. Section VI presents a discussion of the spectrum, and our findings are summarized with an outline of future work in the concluding Sec. VII.