发表机构
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México; Laboratório de Física Teórica e Computacional, Universidade Cidade de São Paulo; Instituto de Física Teórica, Universidade Estadual Paulista; Departamento de Física, Universidad del Valle（墨西哥国立自治大学核科学研究所; 圣保罗城市大学理论与计算物理实验室; 圣保罗州立大学理论物理研究所; 考利大学物理系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该论文在刚性旋转圆柱参考系中构建了量子化电磁场及光子传播子，通过协变麦克斯韦理论和贝塞尔函数求解模式，验证了两种构建方法满足格林函数方程，为旋转系中的协变微扰计算提供了基础。
AI 中文摘要
我们在刚性旋转的圆柱参考系中构建了量子化的电磁场及相应的光子传播子。从协变麦克斯韦理论出发，我们制定了规范固定场方程，并在圆柱坐标中求解。电磁场的矢量性质要求区分轨道角动量和内禀角动量，总角动量作为自然量子数。我们通过求解耦合微分方程，用贝塞尔函数构建了两个独立的物理光子模式，并提供了基于协变常数四元组生成的矢量本征函数的协变基的替代构建方法。在用麦克斯韦内积归一化模式后，我们对电磁场进行量子化，并定义相应的光子态以及大于和小于两点函数。物理的时间有序传播子直接从量子化模式获得，其横向依赖性编码在偏振核中，保留了圆柱空间结构，其谱极点表现出旋转能量位移。完整的规范固定光子传播子以两种互补方式构建：从标量格林函数结合惯性费曼规范传播子的张量变换，以及从协变矢量本征系统通过其谱分解和福克-施温格固有时间表示。我们验证了两种构建都满足完整规范固定麦克斯韦算子的格林函数方程，提供了内部光子线协变微扰计算所需的传播子。
英文摘要
We construct the quantized electromagnetic field and the corresponding photon propagators in a rigidly rotating cylindrical reference frame. Starting from covariant Maxwell theory, we formulate the gauge-fixed field equations and solve them in cylindrical coordinates. The vector nature of the electromagnetic field requires distinguishing orbital and intrinsic angular momentum, with the total angular momentum as the natural quantum number. We construct the two independent physical photon modes in terms of Bessel functions by solving the coupled differential equations, and provide an alternative construction based on a covariant basis of vector eigenfunctions generated by a covariantly constant tetrad. After normalizing the modes with the Maxwell inner product, we quantize the electromagnetic field and define the corresponding photon states and greater and lesser two-point functions. The physical time-ordered propagator is obtained directly from the quantized modes, with its transverse dependence encoded in polarization kernels that retain the cylindrical spatial structure and its spectral poles exhibiting the rotational energy shift. The full gauge-fixed photon propagator is constructed in two complementary ways: from the scalar Green function combined with the tensor transformation of the inertial Feynman-gauge propagator, and from the covariant vector eigensystem through its spectral decomposition and the Fock--Schwinger proper-time representation. We verify that both constructions satisfy the Green-function equation for the complete gauge-fixed Maxwell operator, providing the propagator required for covariant perturbative calculations with internal photon lines.
Comments31 pages. No figures
