南京大学学报(自然科学版) ›› 2016, Vol. 52 ›› Issue (5): 771–.

• •    下一篇

协变规范量子化的自由电磁场理论中一类算符规范变换的研究

孙为民*   

  • 出版日期:2016-09-24 发布日期:2016-09-24
  • 作者简介: 南京大学物理学院,南京,210093
  • 基金资助:
    基金项目:江苏省自然科学基金(BK20151376)
    收稿日期:2016-06-29
    *通讯联系人,E­mail:sunwm@nju.edu.cn

A study of a class of operator gauge transformation in covariantly quantized free electromagnetic field theory

Sun Weimin*   

  • Online:2016-09-24 Published:2016-09-24
  • About author: School of Physics,Nanjing University,Nanjing,210093,China

摘要: 核子自旋结构的研究是当前量子色动力学中一个热点问题,在近年来有关这一研究的新进展中,涉及规范场系统的动量角动量算符是否需要规范不变这一根本问题,文献中对此有颇多讨论.本文试图在最简单的规范理论,即自由电磁场理论中,通过将通常协变规范下的c数规范变换自然的扩充成为一类算符规范变换,来探讨这一物理问题的可能认识.从经典理论与量子理论层次对于这种新的算符规范变换的特点与物理推论作了充分的讨论,得出了一些新的结果,这些结果自身就是有着独立物理意义的,也是通常场论教科书中未曾论及的.在此讨论的基础上,分析了自由电磁场理论中能量动量算符与角动量算符的规范不变性这一问题,得出了一些物理上有意义的认识.

Abstract: The study of nucleon spin structure is a hot problem of Quantum Chromodynamics.In recent progress of this research the problem of whether the momentum and angular momentum operators of a gauge field system need to be gauge­invariant has attracted the attention of many researchers.We study a class of operator gauge transformation in covariantly quantized free electromagnetic field theory to pursue the possible understanding of this physical problem.We make much discussion on the nature and physical implication of this new operator gauge transformation at the level of both classical theory and quantum theory.We obtain some new results.These new results are physically meaningful in their own right and are not discussed in usual textbooks of field theory.Based on this discussion,we analyze the problem of gauge invariance of energy momentum operator and angular momentum operator of free electromagnetic theory and obtain some physically meaningful understanding of this problem.

 
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