论文标题
在任意$ξ$ -Gauge中电磁场的规范量化
Canonical quantization of the electromagnetic field in arbitrary $ξ$-gauge
论文作者
论文摘要
我们在任意$ξ$ - 高器上进行电磁场的规范量化，并计算其传播器。通过这种方式，我们填补了文献中的空白，并阐明了有关电磁场传播器的Feynman $Iε$处方的现有混乱。我们还讨论了BRST量化，并研究了当量规参数$ξ$以值-1为-1时，理论中存在的明显奇异性。我们发现，由于选择基本模式，这仅仅是伪像，并表明在适当的基础上，换向关系和BRST转换实际上与量规参数无关。后者仅是在哈密顿量中的BRST精确项的系数，该系数构成了极为简单的证明，证明了量规参数$ξ$上任何物理过程的独立性。
We carry out the canonical quantization of the electromagnetic field in arbitrary $ξ$-gauge and compute its propagator. In this way we fill a gap in the literature and clarify some existing confusion about Feynman $iε$ prescription for the propagator of the electromagnetic field. We also discuss the BRST quantization and investigate the apparent singularities present in the theory when the gauge parameter $ξ$ takes the value -1. We find that this is a mere artifact due to the choice of basic modes and show that in the appropriate basis the commutation relations and the BRST transformation are, in fact, independent of the gauge parameter. The latter only appears as the coefficient of a BRST exact term in the Hamiltonian, which constitutes an extremely simple proof of the independence of any physical process on the gauge parameter $ξ$.
