发表机构
CERN; Section de Mathématiques, Université de Genève（欧洲核子研究中心; 日内瓦大学数学系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究计算N=4 SU(N) SYM中重正则算子产生态的能量-能量关联函数，分析其随z变化的多物理区域行为，揭示了大电荷喷注区域的幂律特征。
AI 中文摘要
我们在固定N且大电荷't Hooft耦合λ~Δ_H g_YM²取任意值的情况下，计算N=4 SU(N) SYM中由标度维数为Δ_H的重正则算子所产生态的能量-能量关联函数。该正则算子产生的态会触发共形对称性的自发破缺与希格斯机制，W玻色子质量平方与λ成正比。我们从局域算子四点函数的已知有限耦合结果出发，进行探测器变换与傅里叶变换，将得到的能量-能量关联函数表示为源-探测器通道中的无限OPE求和，随后对其进行数值与解析分析。我们证明，有限耦合能量-能量关联函数会随z=(1-cosθ)/2呈现出一系列不同的物理区域，其中θ为探测器间的夹角。在z≪λ⁻¹时为小角度真空主导行为，接着在λz~1时出现非单调的介质诱导瞬态行为，之后进入大电荷喷注区域，此时能量-能量关联函数呈现幂律行为~1/(λz³)（对应λ⁻¹≲z≲λ⁻¹/³），最终在更大角度下趋近于与角度无关的平台。
英文摘要
We compute the energy-energy correlator in a state created by a heavy canonical operator of scaling dimension $Δ_H$ in $\mathcal{N}=4$ $SU(N)$ SYM, at fixed $N$ and arbitrary values of the large charge 't Hooft coupling $λ\sim Δ_H g_{\rm YM}^2$. The state created by the canonical operator triggers spontaneous breaking of conformal symmetry and the Higgs mechanism, with squared W-boson masses proportional to $λ$. We start with the known finite-coupling result for the underlying four-point function of local operators, perform the detector and Fourier transforms and express the resulting energy-energy correlator as an infinite OPE sum in the source-detector channel, which we then analyze both numerically and analytically. We show that the finite-coupling energy-energy correlator exhibits a hierarchy of distinct physical regimes as a function of $z=(1-\cosθ)/2$, where $θ$ is the angle between the detectors. A small-angle vacuum-dominated behavior at $z\llλ^{-1}$ is followed by a non-monotonic medium-induced transient behavior at $λz \sim1$. A large charge jet regime follows, where the energy-energy correlator displays a power-law behavior $\sim1/(λz^3)$ for $λ^{-1}\lesssim z \lesssim λ^{-1/3}$, before approaching an angle-independent plateau at larger angles.
Comments66 pages, 9 figures
