Monopoles, Polyakov Loops, and Gauge Fixing on the Torus
Monopoles, Polyakov Loops, and Gauge Fixing on the Torus
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单极子、波利亚科夫环和圆环上的仪表固定
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
A. Wipf
中科院分区：
文献类型：
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作者：
C. Ford;U. Mitreuter;J. Pawlowski;T. Tok;A. Wipf
本文考虑四环面上的纯杨-米尔斯理论。本文给出了一组包含所有瞬子扇区的非阿贝尔跃迁函数。有人认为，这些过渡函数是一个方便的起点规范固定。特别地，我们给出了一个扩展的Abel投影关于Polyakov回路，其中A0是独立于时间和在Cartan子代数。在非微扰区，这种规范固定必然是奇异的。这些奇异性可以被限制在狄拉克弦连接类缺陷和反类缺陷。
Abstract We consider pure Yang–Mills theory on the four torus. A set of non-Abelian transition functions which encompass all instanton sectors is presented. It is argued that these transition functions are a convenient starting point for gauge fixing. In particular, we give an extended Abelian projection with respect to the Polyakov loop, where A 0 is independent of time and in the Cartan subalgebra. In the non-perturbative sectors such gauge fixings are necessarily singular. These singularities can be restricted to Dirac strings joining monopole and anti-monopole like “defects”.