发表机构
Universidad Autónoma Metropolitana-Iztapalapa; Centro de Investigación y Desarrollo en Ciencias Aeroespaciales (CIDCA); Academia Politécnica Aeronáutica; Fuerza Aérea de Chile; Facultad de Ingeniería y Arquitectura, Universidad Central de Chile（墨西哥自治大学伊斯塔帕拉帕分校; 航空航天科学研究与发展中心; 空军理工学院; 智利空军; 智利中央大学工程与建筑学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文推导了全局旋转下含夸克线性sigma模型的树级相互作用顶点，揭示了旋转对动量结构的影响，并提供了可扩展至更广泛量子场论的相互作用规则。
AI 中文摘要
我们推导了在全局旋转存在下含夸克线性sigma模型的树级相互作用顶点。从旋转背景中的标量和费米子场解出发，我们构造了相应的谱表示，并利用它们评估了模型的介子自相互作用和Yukawa耦合。我们表明，旋转改变了相互作用顶点通常的动量空间结构：纵向动量的守恒伴随着角动量选择规则，而横向动力学则编码在涉及贝塞尔函数乘积的旋转诱导径向形状因子中。所得表达式提供了一套适应旋转系统对称性和有限几何的相互作用规则。尽管是在含夸克的线性sigma模型内推导的，但获得的标量自相互作用和标量-费米子耦合结构可以扩展到全局旋转下更广泛的量子场论类别。这些结果为微扰计算提供了构建模块，并有助于对旋转环境中相互作用物质的微观量子场论描述。
英文摘要
We derive the tree-level interaction vertices of the linear sigma model with quarks in the presence of global rotation. Starting from the scalar and fermionic field solutions in a rotating background, we construct the corresponding spectral representations and use them to evaluate the mesonic self-interactions and Yukawa couplings of the model. We show that rotation modifies the usual momentum-space structure of the interaction vertices: conservation of longitudinal momentum is accompanied by angular-momentum selection rules, while the transverse dynamics is encoded in rotation-induced radial form factors involving products of Bessel functions. The resulting expressions provide a set of interaction rules adapted to the symmetries and finite geometry of the rotating system. Although derived within the linear sigma model with quarks, the structures obtained for scalar self-interactions and scalar-fermion couplings can be extended to a broader class of quantum field theories under global rotation. These results provide the building blocks for perturbative calculations and contribute toward a microscopic quantum-field-theoretical description of interacting matter in rotating environments.
Comments18 pages, 3 figures
