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arXiv 0902.1405hep-phhep-lathep-th
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场关联函数方法中的约束机制

Confinement Mechanism in the Field Correlator Method

Yu. A. Simonov, V. I. Shevchenko

摘要:

量子色动力学中的禁闭是由胶子场的真空涨落引起的。非微扰QCD真空动力学有两个数值上不同的尺度:一个是“小”尺度,对应于胶子凝聚、临界温度等,约为0.2-0.3 GeV;另一个是“大”尺度,对应于束缚弦宽度、胶球和胶泵质量等的倒数,约为1.5-2.5 GeV。我们讨论了这种不匹配的限制是确保由两点规范不变的特殊类型的场强相关的图片。它支持大部分的微扰和非微扰动力学,而其他项的贡献被认为是很小的。另一方面,这个对象可以通过gluelump格林函数来表达,其动力学是根据相同的关联函数来定义的。这样,人们就得到了一个自洽的平均场型的计划,导致永久限制在温度低于临界温度。

英文摘要:

Confinement in QCD is caused by vacuum fluctuations of gluon fields. There are two numerically different scales, characterizing nonperturbative QCD vacuum dynamics: a "small" scale, corresponding to gluon condensate, critical temperature etc, which is about 0.2-0.3 GeV, and a "large" one, given by inverse confining string width, glueball and gluelump masses etc, which is about 1.5-2.5 GeV. We discuss this mismatch in a picture where confinement is ensured by two-point gauge-invariant field strength correlator of special type. It supports most of perturbative and nonperturbative dynamics, while contribution of other terms is argued to be small. This object, on the other hand, can be expressed via gluelump Green's function, whose dynamics is defined in terms of the same correlator. In this way one obtains a self-consistent scheme of mean-field type leading to permanent confinement at temperatures less than the critical one.

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