Revealing topological structure in the SU(2) vacuum
Revealing topological structure in the SU(2) vacuum
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DOI：
10.1016/s0550-3213(98)00181-3
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发表时间：
1998-06-01
影响因子：
2.8
通讯作者：
Kovacs, TG
中科院分区：
文献类型：
--
作者：
DeGrand, T;Hasenfratz, A;Kovacs, TG
在本文中，我们推导出一个简单的参数化的循环方法，我们在我们的早期工作。这种新方法称为重正化群（RG）映射，由一系列精心调整的APE涂抹步骤组成。研究了循环与RG映射的关系。我们还详细研究了光滑瞬子和瞬子-反瞬子对在RG映射变换下的行为。我们利用RG映射技术研究了SU（2）规范理论的拓扑磁化率和瞬子尺寸分布。我们发现在很宽的耦合值范围内这两个量的缩放。我们的拓扑磁化率的结果，chi（1/4）= 220（6）MeV，同意我们以前的结果。(C)1998年Elsevier Science B.V.
In this paper we derive a simple parametrization of the cycling method developed by us in our earlier work. The new method, called renormalization group (RG) mapping, consists of a series of carefully tuned APE-smearing steps. We study the relation between cycling and RG mapping. We also investigate in detail how smooth instantons and instanton-anti-instanton pairs behave under the RG mapping transformation. We use the RG-mapping technique to study the topological susceptibility and instanton size distribution of SU(2) gauge theory. We find scaling in both quantities in a wide range of coupling values. Our result for the topological susceptibility, chi(1/4) = 220(6) MeV, agrees with our earlier results. (C) 1998 Elsevier Science B.V.