The Subleading Term of the Strong Coupling Expansion of the Heavy-Quark Potential in a $\mathcal N=4$ Super Yang-Mills Vacuum

三阶修正的tr(ϕ²)三点形式因子在N=4超杨-米尔斯理论中

Subleading Color Corrections at Three Loops to the $\operatorname{tr}(ϕ^2)$ Three-Point Form Factor in $\mathcal{N} = 4$ Super Yang-Mills Theory

本文研究了N=4超杨-米尔斯理论中tr(ϕ²)三点形式因子的三阶修正，发现其可表示为权重为六的广义polylogarithms的整数线性组合，为幅度-bootstrap程序提供了重要输入。

Subleading Terms in the Collinear Limit of Yang-Mills Amplitudes

For two massless particles i and j, the collinear limit is a special kinematic configuration in which the particles propagate with parallel four-momentum vectors, with the total momentum P distributed as p_i=xP and p_j=(1-x)P, so that s_{ij}=(p_i+p_j)^2=P^2=0. In Yang-Mills theory, if i and j are among N gauge bosons participating in a scattering process, it is well known that the partial amplitudes associated to the (single trace) group factors with adjacent i and j are singular in the collinear limit and factorize at the leading order into N-1-particle amplitudes times the universal, x-depen…

The Subleading Term of the Strong Coupling Expansion of the Heavy-Quark Potential in a $\mathcal N=4$ Super Yang-Mills Plasma

Applying the AdS/CFT correspondence, the expansion of the heavy-quark potential of the ${\cal N}$ supersymmetric Yang-Mills theory at large $N_c$ is carried out to the sub-leading term in the large 't Hooft coupling at nonzero temperatures. The strong coupling corresponds to the semi-classical expansion of the string-sigma model, the gravity dual of the Wilson loop operator, with the sub-leading term expressed in terms of functional determinants of fluctuations. The contributions of these determinants are evaluated numerically.

引力对应的杨-米尔斯振幅的次领头共线极限

Subleading Collinear Limits of Yang-Mills Amplitudes from Gravity

该研究揭示杨-米尔斯振幅的次领头共线区域受爱因斯坦-杨-米尔斯振幅及其高阶导数修正控制，通过类BCJ关系缩减共线数据基，由引力振幅及开弦修正表示，分解受第一类无符号斯特林数支配。

Subleading Power Resummation of Rapidity Logarithms: The Energy-Energy Correlator in $\mathcal{N}=4$ SYM

We derive and solve renormalization group equations that allow for the resummation of subleading power rapidity logarithms. Our equations involve operator mixing into a new class of operators, which we term the "rapidity identity operators", that will generically appear at subleading power in problems involving both rapidity and virtuality scales. To illustrate our formalism, we analytically solve these equations to resum the power suppressed logarithms appearing in the back-to-back (double light cone) limit of the Energy-Energy Correlator (EEC) in $\mathcal{N}$=4 super-Yang-Mills. These logar…

Yang-Mills理论中的自对偶微扰

Self-dual Perturbiner in Yang-Mills theory

本文评述了杨-米尔斯理论中多胶子振幅的微扰方法。