Comments on Mesonic Correlators in the Worldline Formalism

世界线固有长度的关联函数

Correlators of Worldline Proper Length

本文证明壳上作用量对世界线质量的导数可计算世界线固有长度关联函数，并提议局部关联函数的对数作为其生成函数，从而从CFT关联函数提取AdS世界线观测量。

Lattice worldline representation of correlators in a background field

We use a discrete worldline representation in order to study the continuum limit of the one-loop expectation value of dimension two and four local operators in a background field. We illustrate this technique in the case of a scalar field coupled to a non-Abelian background gauge field. The first two coefficients of the expansion in powers of the lattice spacing can be expressed as sums over random walks on a d-dimensional cubic lattice. Using combinatorial identities for the distribution of the areas of closed random walks on a lattice, these coefficients can be turned into simple integrals. …

双夸克关联函数与相结构在夸克-介子-双夸克模型中的非微扰功能重整化群研究

Diquark Correlators and Phase Structure in the Quark-Meson-Diquark Model beyond Mean Field

本文基于非微扰功能重整化群框架，研究了双味夸克-介子-双夸克模型的相结构，探讨了介子涨落对相结构的影响，并通过双夸克场的两点函数分析，揭示了双夸克凝聚主导动力学的现象。

Generalized LKF transformations for $N$-point fermion correlators in QED

Within the worldline approach to quantum electrodynamics (QED), a change of the photon's covariant gauge parameter $ξ$ is investigated to analyse the non-perturbative gauge dependence of the configuration space fermion correlation functions, deriving a generalization of the Landau-Kalatnikov-Fradkin transformations (LKFt). These transformations reveal how the non-perturbative gauge dependence of position space amplitudes can be absorbed into a multiplicative exponential factor.

为什么在手征交叉温度以上约束区中守恒荷的涨落表现得像夸克是自由的？

Why fluctuations of conserved charges in the confining regime above $T_{ch}$ behave as if the quarks were free?

本文解释在手征交叉温度以上约束区中，守恒荷涨落类似自由夸克而介子关联函数却不同，源于守恒荷不感受约束，与零温下夸克-强子对偶一致，并提出弦状流体物质的微观图像。

袋子里的规范理论

Gauge Theories in a Bag

本文研究了$d\es 2n$维欧氏袋中的多味规范理论。“夸克”的边界条件打破了轴向味对称，并依赖于一个参数$θ$。我们确定了费米子算符和行列式的$θ$依赖性，并发现一个$CP$破缺的$θ$项是动态产生的.作为应用，我们计算了多味$QED_2$的手征凝聚和$QCD_2$的阿贝尔投影.在第二个模型中，在颜色数$N_c$趋于无穷大的极限中产生凝聚。我们证明了$QCD_2$中的凝聚态随袋半径$R$的增加而减少，至少为$\sim R^{-1/N_cN_f}$。最后我们确定了$QCD_2$中的介子流。