热退凝SU（2）Yang-Mills等离子体中的单圈光子-光子散射
One-loop photon-photon scattering in a thermal, deconfining SU(2) Yang-Mills plasma
摘要：
对于退凝热SU（2）Yang-Mills等离子体，我们讨论了（反）calorons在引入非热行为中的作用，该行为可用Planck作用量子$\hbar$来描述.这种非热性正好在基态估计和自由准粒子激发之间抵消。运动学约束在4顶点散射和计数的径向循环变量对他们的独立约束的数量进行了重新访问。接下来，我们考虑热2 $\rightarrow$ 2单圈散射的模式保持无质量后（反）caloron诱导的伴随希格斯机制（热基态后，空间粗粒化）。从严格的分析论证开始，我们能够从包含至少一个三顶点的图中排除光子-光子散射的贡献，并且在下一步中，绝大多数可能的配置涉及两个四顶点。通过数值分析，我们表明，其余的贡献的整体S通道被严重抑制相比，T和U通道，这意味着创建一对大规模的矢量模式的一对光子，反之亦然，实际上不会发生在杨米尔斯等离子体。对于T和U通道，环路积分域表示小于$10^{-7}$乘以无约束积分区域的体积。这样引入的光子-光子关联应该会影响宇宙微波背景在低红移时的偏振。将本文发展的方法应用于不可约泡图的分析，可以证明hep-th/0609033关于有限不可约阶的循环展开式终止的猜想。
英文摘要：
For a deconfining thermal SU(2) Yang-Mills plasma we discuss the role of (anti)calorons in introducing non-thermal behavior effectively described in terms of Planck's quantum of action $\hbar$. This non-thermality cancels exactly between the ground-state estimate and its free quasiparticle excitations. Kinematic constraints in 4-vertex scattering and the counting of radial loop variables versus the number of independent constraints on them are re-visited. Next, we consider thermal 2$\rightarrow$ 2 one-loop scattering of the modes remaining massless upon the (anti)caloron induced adjoint Higgs mechanism (thermal ground state after spatial coarse graining). Starting with stringent analytical arguments, we are able to exclude the contribution to photon-photon scattering from diagrams containing at least one three-vertex and, in a next step, a vast majority of all possible configurations involving two four-vertices. By numerical analysis we show that the remaining contribution of the overall S channel is severely suppressed compared to that of the T and U channels, meaning that the creation of a pair of massive vector modes by a pair of photons and vice versa practically does not occur in the Yang-Mills plasma. For the T and U channels the domain of loop integration represents less than $10^{-7}$ times the volume of the unconstrained integration region. The thus introduced photon-photon correlation should affect the Cosmic Microwave Background's polarisation at low redshift. An adaption of the here-developed methods to the analysis of irreducible bubble diagrams could prove the conjecture of hep-th/0609033 on the termination of the loop expansion of thermodynamical quantities at a finite irreducible order.
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