On the stratified classical configuration space of lattice QCD

On the stratified classical configuration space of lattice QCD
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格子QCD的分层经典构型空间

DOI:
10.1016/j.geomphys.2004.12.002
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发表时间:
2004
影响因子:
1.5
通讯作者:
Matthias Schmidt
Matthias Schmidt
中科院分区:
数学3区
文献类型:
--
作者:
S. Charzyński;J. Kijowski;G. Rudolph;Matthias Schmidt

文献摘要

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研究了G=SU(3)的位形空间GN=G× G ×G关于G的作用用内自同构约化后的分层结构.这是一个从格点QCD发展而来的有限维模型。首先,分层的代数特征,任意N。接下来,讨论了N=1和N=2情况下的不变量的全代数。最后,对于N=1和N=2,分层结构进行了详细的研究,无论是在不变量和关系,并在更多的几何术语。此外,地层的特点是明确使用当地的横截面。
The stratified structure of the configuration space GN=G×⋯×G reduced with respect to the action of G by inner automorphisms is investigated for G=SU(3). This is a finite dimensional model coming from lattice QCD. First, the stratification is characterized algebraically, for arbitrary N. Next, the full algebra of invariants is discussed for the cases N=1 and N=2. Finally, for N=1 and N=2, the stratified structure is investigated in some detail, both in terms of invariants and relations and in more geometric terms. Moreover, the strata are characterized explicitly using local cross sections.