arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2002.00968hep-phhep-latnucl-th
收藏

完整等离子体的自由能

Free energy of a Holonomous Plasma

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

备注：
32 pages, 2 figures
发表信息：
Phys. Rev. D 101, 094025 (2020)
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

在非零温度T下，恒定场$\overline{A}_0 \sim T/g$产生热威尔逊线的非平凡本征值。我们讨论了当耦合常数$g$较弱时对这种完整等离子体自由能的贡献。我们回顾了用几种不同的方法对$\sim g^2$的计算，并表明在规范势$A_0$中非线性的规范不变源对$\sim g^2$处的胶子自能产生了新的贡献。这确保了胶子自能保持横向于$\sim g^2$，并且在计算小完整性的$\sim g^3$自由能$\overline{A}_0 \sim T$的贡献时是必不可少的。我们证明了非对角胶子的贡献$\sim g^3$在完整性消失时是不连续的。对角胶子的贡献在完整性消失时是连续的，但严格限制了产生非零完整性的可能源，并且必须涉及无限个Polyakov环。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑