't Hooft模型中的光前诊断II：边界抵消、ERBL谱和能动张量形状因子的解析性
Light-front diagnostics in the 't Hooft model: II. Boundary cancellations, ERBL spectral sums, and analyticity of the EMT form factor
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中文总结 AI 辅助
研究't Hooft模型中光前诊断，通过完成第二个GPD矩及其ERBL贡献，追踪支撑区域结合，证明结构抵消，得出EMT形状因子解析性，提取相关曲率等，展示中间态分解对极点强度等的影响。
中文摘要 AI 辅助
对角光前重叠包含近前向能量-动量张量（EMT）信息，但本身不是一个局域矩阵元。在大N_c 't Hooft模型中，我们用其ERBL贡献完成了第二个广义部分子分布（GPD）矩，并追踪两个支撑区域如何结合。边界指数产生分数幂，在β = 1/2时，单独项中产生共振对数。我们表明这些结构会抵消，包括主导和次主导指标族的干涉。在共振处，双对数和单对数的抵消也产生了逆质量平方留数和规则；在共振之上，两个区域合并为一个有限的四阶系数。因此，完整的EMT形状因子在曲率阶数上是解析的。ERBL扇区使斜率不变，但对曲率和更高阶导数至关重要。我们提取了稳定的正则曲率和重曲率，对第二和第三轻激发以及纵向迹半径进行了带有系统包络的估计。中间态分解进一步展示了组成质量和激发如何重新分配极点强度并产生可移除极点和干涉零点。
英文摘要
A diagonal light-front overlap contains near-forward energy-momentum-tensor (EMT) information but is not itself a local matrix element. In the large-$N_c$ 't Hooft model we complete the second GPD moment with its ERBL contribution and follow how the two support regions combine. Boundary exponents generate fractional powers and, at $β=1/2$, resonant logarithms in the separate terms. We show that these structures cancel, including the interference of the leading and next indicial families. At the resonance, cancellation of the double and single logarithms also yields an inverse-mass-squared residue sum rule; above it, the two regions combine into a finite fourth-order coefficient. The complete EMT form factor is therefore analytic through curvature order. The ERBL sector leaves the slope unchanged but is essential for curvature and higher derivatives. We extract stable canonical and heavy curvatures, estimates with systematic envelopes for the second and third light excitations, and the longitudinal trace radius. The intermediate-state decomposition further shows how constituent mass and excitation redistribute pole strength and generate removable poles and interference zeros.
