Lorentz Generators for the Maxwell Field and Gauge Fixing

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2019,（4）
• 页码范围: 403-409
• 页数: 7页
• 语种: 英文
• DOI: 10.1088/0253-6102/71/4/403

摘要

We propose a direct derivation of the Lorentz generators for the four-potential of electrodynamics on the basis of Wigner's theorem.The derivation relies on a study of the behaviour of polarisation vectors under k-space differentiation.The Coulomb and Lorenz gauges are discussed in that respect,and gauge invariance under Poincaré transformations is examined.The Poincaré generators given by Biatynicki-Birula and Biatynicka-Birula are found to correspond to the Coulomb gauge case.