【摘要】 我们在协交规范条件下对纯杨-Mills场进行正则量子化,研究了A_μ中两个非物理成份X和X’的相互作用拉氏量,其中只有一项对物理态之间的S矩阵元有贡献,它导致S矩阵的么正性破坏.通过解一个简单的泛函微分方程,我们求出了规范补偿项.在作用量中添上规范补偿项以后,物理态空间中的S矩阵可以写成物理粒子和非物理粒子之间没有耦合的形式,显示出S矩阵的规范无关性和么正性.更多还原

【Abstract】 The Yang-Mills field is quantized within the canonical formalism in covariant gauges. The interaction Lagrangian of X and X’, i.e. the unphysical components of A_μ, is studied. In this Lagramgian there is only one term contributing to the S matrix elements between physical states. It is the source of the breaking of the unitarity of the physical S matrix. We get the gauge compensating term by solving a simple functional differential equation. If the gauge compensating term is added to the action, the S matrix in the physical state vector space can be expressed in a form which has no couplings of physical and unphysical particles, and so the physical S matrix is gauge independent and unitary.更多还原