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High Energy Physics - Theory

arXiv:2307.11171v1 (hep-th)
[Submitted on 20 Jul 2023 ]

Title: Fermionic asymptotic symmetries in massless QED

Title: 无质量QED中的费米子渐近对称性

Authors:Adrián Agriela, Miguel Campiglia
Abstract: We consider soft electrons in massless QED at tree-level. The emission amplitude at leading order in the soft electron energy factorizes in a way similar to the soft photon case. We recast the soft electron factorization formula as a Ward identity of an asymptotic charge. This leads to the first example of an asymptotic fermionic symmetry in a theory with no conventional supersymmetry, suggesting that tree-level massless QED may posses an asymptotic supersymmetry algebra. Although our approach does not yet allow us to completely characterize the algebra, it suggests that subleading soft photons should feature in the anticommutator of two fermionic symmetry generators.
Abstract: 我们研究了无质量QED中的软电子,在树级水平上。 软电子能量在主导阶的发射幅度以类似于软光子的情况的方式分解。 我们将软电子分解公式重新表述为渐近荷的Ward恒等式。 这导致了一个没有传统超对称性的理论中第一个渐近费米子对称的例子,表明树级无质量QED可能具有渐近超对称代数。 尽管我们的方法还不允许我们完全描述该代数,但它表明次领头阶软光子应该出现在两个费米子对称生成器的反换子中。
Comments: 29 pages
Subjects: High Energy Physics - Theory (hep-th) ; General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:2307.11171 [hep-th]
  (or arXiv:2307.11171v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2307.11171
arXiv-issued DOI via DataCite

Submission history

From: Miguel Campiglia [view email]
[v1] Thu, 20 Jul 2023 18:09:20 UTC (256 KB)
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