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德西特空间中全正 QED 波函数

All-Plus QED Wavefunctions in de Sitter Space

Song He, Jiajie Mei, Yuyu Mo

arXiv 2609.29356首次发表:更新:

发表机构

New Cornerstone Laboratory, Institute of Theoretical Physics, Chinese Academy of Sciences; Institute of Physics, University of Amsterdam(新基石实验室,中国科学院理论物理研究所; 阿姆斯特丹大学物理研究所)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文提出德西特空间中标量QED全重数波函数系数的紧凑公式,结合低点系数与总能量项,利用Ward恒等式推导递推关系,并验证共形对称性。

AI 中文摘要

我们提出了四维德西特空间中标量 QED 的树级晚期波函数系数的紧凑全重数公式,该公式涉及共形耦合的带电标量对和正螺旋度光子。它将移位标量动量处的低点系数与正比于总能量的旋量-螺旋度项相结合。平坦空间振幅在存在两个或更多光子时为零,但德西特系数保持非零。这些零点强制了总能量留数的抵消,并通过因式分解,强制了涉及多光子子振幅的适当部分能量留数的抵消。利用公共参考构造,我们从阿贝尔 Ward 恒等式推导出精确的低点递推关系。共形对称性提供了独立检验:配分和满足非齐次 Ward 恒等式,而总能量项是齐次解。我们还概述了无质量费米子 QED 中的类似递推关系。

英文摘要

We present a compact all-multiplicity formula for tree-level late-time wavefunction coefficients of scalar QED in four-dimensional de Sitter space, with a conformally coupled charged scalar pair and positive-helicity photons. It combines lower-point coefficients at shifted scalar momenta with a spinor-helicity term proportional to the total energy. The flat-space amplitudes vanish for two or more photons, yet the de Sitter coefficients remain nonzero. These zeros enforce cancellations of the total-energy residue and, through factorization, of proper partial-energy residues involving multi-photon subamplitudes. Using a common-reference construction, we derive an exact lower-point recursion from Abelian Ward identities. Conformal symmetry provides an independent check: the partition sum solves the inhomogeneous Ward identity, while the total-energy term is a homogeneous solution. We also outline an analogous recursion in massless fermionic QED.

Comments5 pages,

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