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最小朗道规范下的淬火SU(2)基本标量传播子。

The quenched SU(2) fundamental scalar propagator in minimal Landau gauge.

作者信息

Maas Axel

机构信息

Institute of Physics, NAWI Graz, University of Graz, Universitätsplatz 5, 8010 Graz, Austria.

出版信息

Eur Phys J C Part Fields. 2016;76(7):366. doi: 10.1140/epjc/s10052-016-4216-4. Epub 2016 Jul 2.

DOI:10.1140/epjc/s10052-016-4216-4
PMID:28280443
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5321402/
Abstract

It is a long-standing question whether the confinement of matter fields in QCD has an imprint in the (gauge-dependent) correlation functions, especially the propagators. As the analytic structure plays an important role in this question, high-precision data is necessary for lattice investigations. Also, it is interesting how this depends on the dimensionality of the theory. To make a study over a wide range of parameters possible this suggests to use scalar particles. This is done here: The propagator of a fundamental scalar is studied in two, three, and four dimensions in quenched SU(2) Yang-Mills theory in minimal Landau gauge, both in momentum space and position space. Particular emphasis is put on the effects of renormalization. The results suggest a quite intricate volume dependence and the presence of an intrinsic mass scale, but no obvious connection to confinement.

摘要

QCD中物质场的禁闭是否在（规范相关的）关联函数，特别是传播子中留下印记，这是一个长期存在的问题。由于解析结构在这个问题中起着重要作用，高精度数据对于格点研究是必要的。此外，这如何依赖于理论的维度也很有趣。为了能够在广泛的参数范围内进行研究，这表明要使用标量粒子。本文就是这样做的：在最小朗道规范下的淬火SU(2)杨-米尔斯理论中，在动量空间和位置空间中研究了二维、三维和四维基本标量的传播子。特别强调了重整化的影响。结果表明存在相当复杂的体积依赖性和一个内在质量标度，但与禁闭没有明显联系。

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本文引用的文献

1
Analytic structure of the Landau-gauge gluon propagator.朗道规范胶子传播子的解析结构。
Phys Rev Lett. 2012 Dec 21;109(25):252001. doi: 10.1103/PhysRevLett.109.252001. Epub 2012 Dec 19.
2
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Phys Rev Lett. 2008 Jun 20;100(24):241601. doi: 10.1103/PhysRevLett.100.241601. Epub 2008 Jun 18.