Abelian dominance and quark confinement in Yang-Mills theories
Abelian dominance and quark confinement in Yang-Mills theories
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杨米尔斯理论中的阿贝尔优势和夸克禁闭
DOI：
10.1103/physrevd.25.2681
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发表时间：
1982
影响因子：
5
通讯作者：
A. Iwazaki
中科院分区：
文献类型：
--
作者：
Z. F. Ezawa;A. Iwazaki
我们定义规范场的阿贝尔分量为杨-米尔斯理论中的规范不变对象。然后，通过假设阿贝尔分量占主导地位的理论在一个长距离的规模，我们证明，夸克以及球被限制的电涡旋。真空结构取决于分辨率R。也就是说，真空在R中有两个相，当R>或=R/sub c/时，真空发生单极凝聚。得到了介子的弦张力σ/sub q/ = g/sub c//sup 2//3. pi.. R/sub c//sup 2/，其中g/sub c/是临界分辨率R/sub c/下的有效耦合常数。在静态夸克存在下，我们估计R/sub c//sup-1/为0.6 GeV，袋常数B/sup 1/4/为0.2- 0.4 GeV.我们还推导出一个关系。阿尔法帽。'/sub g/ = 1/3..阿尔法帽。介子的Regge斜率之间（...阿尔法帽。）和胶子（..阿尔法帽。'/sub g/）。这种关系与实验数据非常吻合，只要胶子与Pomeranchuk轨道上的状态相一致。
We define the Abelian component of the gauge field as a gauge-invariant object in the Yang-Mills theory. Then, by assuming that the Abelian component dominates in the theory at a long-distance scale, we demonstrate that quarks as well as glouns are confined by electric vortices. The vacuum structure is shown to depend on resolution R. That is, the vacuum has two phases in R and momopole condensation occurs for R> or =R/sub c/. The string tension of mesons is obtained as sigma/sub q/ = g/sub c//sup 2//3..pi..R/sub c//sup 2/, where g/sub c/ is the effective coupling constant at the critical resolution R/sub c/. We estimate R/sub c//sup -1/ to be 0.6 GeV in the presence of static quarks, and the bag constant B/sup 1/4/ to be 0.2--0.4 GeV. We also derive a relation ..cap alpha..'/sub g/ = 1/3..cap alpha..' between Regge slopes of mesons (..cap alpha..') and of gluonia (..cap alpha..'/sub g/). This relation agrees with experimetnal data remarkably well provided that gluonia are identified with states lying on the Pomeranchuk trajectory.