双荷子的量子电动力学
The quantum electrodynamics for dyons
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中文总结 AI 辅助
该研究基于前人工作提出双荷子的量子电动力学，规范群为\(U(1)\times U(1)\)。通过BRS代数重整化方法分析模型，结合LZ减法方案，验证了该模型在微扰理论各阶无反常且可乘重整化，证明了其量子一致性。
中文摘要 AI 辅助
基于卡比博、法拉利和萨拉姆20世纪60年代的开创性工作，提出了带有电荷和磁荷的大质量费米子（双荷子）的量子电动力学，规范群为\(U(1)\times U(1)\)，与一个矢量场（光子）和一个赝矢量场（超光子）相关联，且搁置了狄拉克量子化。在树图水平分析了模型的谱一致性并建立了所有连续和离散对称性。利用贝奇 - 鲁埃 - 斯托拉（BRS）代数重整化方法进行量子分析，该方法独立于任何正则化方案。由于存在无质量规范场，在博戈柳博夫 - 帕拉修克 - 赫普 - 齐默尔曼 - 洛温斯坦（BPHZL）重整化程序框架内需要洛温斯坦 - 齐默尔曼（LZ）减法方案。最后验证了所提出的双荷子量子电动力学（dQED）模型在微扰理论的所有阶都没有反常且是可乘重整化的，证明了其量子一致性。
英文摘要
The quantum electrodynamics for massive fermions carrying electric and magnetic charges, the dyons, is proposed based on the 1960's seminal works by Cabibbo, Ferrari, and Salam, with the gauge group being $U(1)\times U(1)$, which is associated to a vector field (photon) and a pseudo-vector field (metaphoton), wherein the Dirac quantization is set aside. At the tree level the spectrum consistency of the model is analyzed, and all continuous and discrete symmetries are established. The quantum analysis is performed by using the Becchi-Rouet-Stora (BRS) algebraic renormalization method, which is independent on any regularization scheme. Moreover, thanks to the presence of massless gauge fields, the Lowenstein-Zimmermann (LZ) subtraction scheme is required within the framework of the Bogoliubov-Parasiuk-Hepp-Zimmermann-Lowenstein (BPHZL) renormalization procedure. Finally, it is verified that the proposed model, the dyon quantum electrodynamics (dQED), is free from any anomaly and is multiplicative renormalizable at all orders in perturbation theory, proving, therefore, its quantum consistency.
