论文标题

自由能量等离子体

Free energy of a Holonomous Plasma

论文作者

Altes, Chris P. Korthals, Nishimura, Hiromichi, Pisarski, Robert D., Skokov, Vladimir V.

论文摘要

在非零温度t时,常数字段$ \ edline {a} _0 \ sim t/g $生成了热威尔逊线的非平凡特征值。我们讨论当耦合常数$ g $薄弱时,对这种自然等离子体的自由能的贡献。我们通过几种替代方法将计算对$ \ sim g^2 $审查,并表明规格不变来源(在量规势能$ a_0 $中是非线性的),对Gluon自我为$ \ sim g^2 $产生了新颖的贡献。这些确保gluon的自我能量保持到$ \ sim g^2 $,并且对于计算$ \ sim g^3 $计算自由能的贡献至关重要。我们表明,随着人的自律消失,来自非diagonal gluons的贡献$ \ sim g^3 $是不连续的。随着整体的消失,对角纤维的贡献是连续的,但是急剧限制了可能产生非零的载体的可能来源,并且必须涉及无限数量的polyakov循环。

At a nonzero temperature T, a constant field $\overline{A}_0 \sim T/g$ generates nontrivial eigenvalues of the thermal Wilson line. We discuss contributions to the free energy of such a holonomous plasma when the coupling constant, $g$, is weak. We review the computation to $\sim g^2$ by several alternate methods, and show that gauge invariant sources, which are nonlinear in the gauge potential $A_0$, generate novel contributions to the gluon self energy at $\sim g^2$. These ensure the gluon self energy remains transverse to $\sim g^2$, and are essential in computing contributions to the free energy at $\sim g^3$ for small holonomy, $\overline{A}_0 \sim T$. We show that the contribution $\sim g^3$ from off-diagonal gluons is discontinuous as the holonomy vanishes. The contribution from diagonal gluons is continuous as the holonomy vanishes, but sharply constrains the possible sources which generate nonzero holonomy, and must involve an infinite number of Polyakov loops.

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