发表机构
University of Connecticut（康涅狄格大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文首次用动力学全息研究胶球引力形状因子，提出重靶有效三次耦合，在无需调整GFF数据下改善格点拟合，并预测形状因子与压力分布。
AI 中文摘要
我们首次对标量、赝标量和正则自旋平均的张量胶球靶标的引力形状因子（GFFs）进行了全息研究。这些可观测量检验了引力三次耦合，其物理有效性并未通过谱和静态力校准确立。我们构建了一个动力学爱因斯坦-标量-轴子表示，灵感来源于Babington-Crooks-Evans对$\mathcal N=4$超杨-米尔斯理论的伴随质量形变及其Type-IIB超引力对偶。保留了领先的紫外源数据，而类似软墙的红外重构则包含了渐近线性的径向质量平方轨迹。谱和Wilson可观测量在共同的Sommer尺度上固定了参数，无需GFF输入。完全约束的三次顶点无法描述27个相关的标量格点观测，给出$\chi^2/\mathrm{dof}=73.60/27=2.73$。我们提出了归一化的重靶（HT）有效三次耦合用于纯胶匹配。HT采用由无限重靶在固定探针动力学下建议的领先径向形状，并将其重叠权重归一化到物理基态上。在背景、模式和传播子不变的情况下，HT给出$\chi^2/\mathrm{dof}=16.98/27=0.63$，无需对GFF数据进行数值调整。张量和标量源重叠决定了$A$和物理归一化迹；精确的有限质量能量-动量张量关系决定了$D$。我们预测了赝标量和张量形状因子以及三靶Breit压力和剪切分布。在参考的红外衰减轴子分支上，HT Breit质量半径分别为$0.276$、$0.300$和$0.311\\,\mathrm{fm}$。结果将引力三次匹配确定为超越背景校准的一个独特步骤，并为进一步的格点测试提供了处方。
英文摘要
We present the first holographic study of gravitational form factors (GFFs) of scalar, pseudoscalar and canonical-spin-averaged tensor glueball targets. These observables test gravitational cubic couplings whose physical validity is not established by spectra and static-force calibration. We construct a dynamical Einstein--scalar--axion representation inspired by the Babington--Crooks--Evans adjoint-mass deformation of $\mathcal N=4$ super-Yang--Mills theory and its Type-IIB supergravity dual. Leading ultraviolet source data are retained, while a soft-wall-like infrared reconstruction incorporates asymptotically linear radial mass-squared trajectories. Spectra and Wilson observables fix the parameters at a common Sommer scale without GFF input. The full constrained cubic vertices fail to describe 27 correlated scalar lattice observations, giving $χ^2/\mathrm{dof}=73.60/27=2.73$. We propose normalized heavy-target (HT) effective cubic couplings for pure-glue matching. HT adopts leading radial shapes suggested by infinitely heavy targets at fixed probe dynamics and normalizes their overlap weights on the physical ground states. With the background, modes and propagators unchanged, HT gives $χ^2/\mathrm{dof}=16.98/27=0.63$, without numerical adjustment to GFF data. Tensor and scalar source overlaps determine $A$ and the physical normalized trace; the exact finite-mass energy--momentum-tensor relation determines $D$. We predict the pseudoscalar and tensor form factors and three-target Breit pressure and shear profiles. On the reference infrared-decaying axion branch, the HT Breit mass radii are $0.276$, $0.300$ and $0.311\,\mathrm{fm}$, respectively. The results identify gravitational cubic matching as a distinct step beyond background calibration and provide a prescription for further lattice tests.
Comments38 pages, 4 figures, 6 tables
