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关于有质量和带电的自旋一矢量玻色子的拉格朗日量与动力学

On the Lagrangian and kinetics of a massive and charged spin-one vector boson

Eckart Marsch, Yasuhito Narita

arXiv 2609.10558首次发表:更新:

发表机构

Johann-Fleck-Straße, 24106 Kiel, Germany; Technische Universität Braunschweig; Max Planck Institute for Solar System Research(德国基尔; 布伦瑞克工业大学; 马克斯·普朗克太阳系统研究所)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文通过洛伦兹群生成元推导出有质量带电自旋一矢量玻色子的动力学方程和拉格朗日量,揭示了自旋-磁场耦合,并导出泡利方程。

AI 中文摘要

本文概述了一个有质量和带电的自旋一矢量玻色子的新动力学方程和拉格朗日量。这些量是通过直接利用包括玻色子自旋在内的洛伦兹群生成元推导出来的。因此,洛伦兹变换的手征对称性指导着代数计算。可以定义两个相关的4x4自旋和螺旋度矩阵,它们的和给出旋转算符,该算符在存在电磁场时产生玻色子自旋与磁场的耦合。计算并讨论了玻色子场的四个极化矢量。此外,推导了电流密度,并用它来揭示动力学方程的玻色子性质。证明了矢量玻色子量子场的能量稳定性。推导出了矢量玻色子的泡利方程。

英文摘要

A new kinetic equation and Lagrangian of a massive and charged spin-one vector boson is outlined in this paper. Those quantities are derived by exploiting directly the Lorentz group generators including the boson spin. Thereby, the chiral symmetry of the Lorentz transformation is guiding the algebraic calculations. Two associated 4\,x\,4 spin and helicity matrices can be defined, the sum of which give the rotation operator that yields in the presence of an electromagnetic field the boson-spin coupling to the magnetic field. The four polarization vectors of the boson field are calculated and discussed. Moreover, the current density is derived and used to reveal the bosonic nature of the kinetic equations. The energetic stability of the vector boson quantum field is shown. A Pauli equation for the vector boson is derived.

论文原文

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