介子引力D形因子与低能QCD中的对称性破缺
Meson gravitational D-form factors and symmetry breaking in low-energy QCD
- Anhui University of Science and Technology（安徽理工大学）
- Juntendo University（顺天堂大学）
- Nagoya University（名古屋大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
研究人员在三味线性σ模型中推导介子D形因子表达式，分析U(1)A反常与味破缺对其的影响，通过与手征微扰论结果对比，表明介子D形因子可作为低能强子对称性破缺的灵敏探针。
AI中文摘要：
我们在三味线性σ模型中研究介子引力D形因子及其与低能QCD中对称性破缺的关联。在标量介子主导图像内，我们考察标量介子交换贡献及其通过标量-介子耦合与介子质量的关联。在三味对称极限下，我们首先推导赝标量介子和标量介子D形因子的解析表达式。在手征极限下，八重态赝标量介子D形因子的向前极限值被固定为-1，而U(1)A反常会对单态赝标量介子和标量介子D形因子产生额外贡献。对于现实的味破缺，为重现1 GeV以下标量介子质量等级引入的相互作用会显著影响标量介子D形因子。我们进一步将线性σ模型的结果与包含伸缩子标量场的手征微扰论拉格朗日量得到的结果进行比较，表明二者差异由贡献介子质量产生的相互作用项的正则质量维度决定。这些结果表明，介子D形因子为低能强子物理中的对称性破缺结构提供了灵敏探针。
英文摘要：
We investigate meson gravitational D-form factors in the three-flavor linear sigma model and their connection to symmetry breaking in low-energy QCD. Within the scalar meson dominance picture, we examine the scalar meson exchange contributions and their relation to meson masses through scalar-meson couplings. In the three-flavor symmetric limit, we first derive analytical expressions for the D-form factors of pseudoscalar and scalar mesons. In the chiral limit, the forward-limit value of the octet pseudoscalar D-form factor is fixed to $-1$, whereas the $U(1)_A$ anomaly generates additional contributions to the singlet pseudoscalar and scalar-meson D-form factors. For realistic flavor breaking, the interaction introduced to reproduce the scalar-meson mass hierarchy below $1$ GeV significantly affects the scalar-meson D-form factors. We further compare the linear sigma model results with those obtained from a chiral perturbation theory Lagrangian including a dilatonic scalar field and show that their differences are governed by the canonical mass dimensions of the interaction terms contributing to meson mass generation. These results indicate that meson D-form factors provide sensitive probes of symmetry-breaking structures in low-energy hadron physics.
