Non-Abelian Debye screening. II. The singlet potential.

Non-Abelian Debye screening. II. The singlet potential.
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非阿贝尔德拜筛选。

DOI:
10.1103/physrevd.34.3904
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发表时间:
1986
期刊:
Physical review. D, Particles and fields
影响因子:
--
通讯作者:
Sudhir Nadkarni
Sudhir Nadkarni
中科院分区:
--
文献类型:
--
作者:
Sudhir Nadkarni

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通过考虑未跟踪的Polyakov环的特征值的相关性,纠正了在早期计算非阿贝尔德拜筛选质量时遇到的问题。这个规范不变函数不受颜色平均的影响,并被证明可以在有限温度下产生静态夸克-反夸克对的单重态势。微扰计算要求静电势A/sub 4/具有一个规范对称破缺真空期望值,该期望值的出现可以解释之前计算中遇到的微扰理论的失效。虽然对称击穿不能可靠地被摄动观察到,但它对摄动计算的影响是可以评估的。研究发现,大多数微扰结果,甚至是假定已确立的低阶结果,都会受到影响。这将使夸克-胶子等离子体的研究远远超出微扰理论的范围,并使非微扰技术即使在非常高的温度下也必不可少。
The problems encountered in an earlier attempt to compute the non-Abelian Debye screening mass are rectified by considering the correlation of the eigenvalues of the untraced Polyakov loop. This gauge-invariant function is free from color averaging and is shown to yield the singlet potential of a static quark-antiquark pair at finite temperature. A perturbative computation requires that the electrostatic potential A/sub 4/ be endowed with a gauge-symmetry-breaking vacuum expectation value, the occurrence of which would explain the breakdown of perturbation theory encountered in the earlier calculation. While the symmetry breakdown cannot reliably be seen perturbatively, its effects on perturbative calculations can be assessed. It is found that most perturbative results, even the supposedly well-established low-order ones, would be affected. This would take the study of the quark-gluon plasma well out of the reach of perturbation theory and make nonperturbative techniques indispensable even at very high temperatures.