I.同位素折叠Wouthuysen表示与手征对称性
I. The Isotopic Foldy-Wouthuysen Representation and Chiral Symmetry
摘要：
本文介绍了同位素Foldy-Wouthuysen表示。这种表示被用来推导大质量相互作用费米子场的方程。当相互作用哈密顿量与矩阵交换时，这些方程具有手征不变性，而不管费米子是否有质量或无质量。同位素褶皱Wouthuysen表示保留的矢量和轴向电流的费米子质量值无关。在狄拉克表象中，轴向流只对无质量费米子保留。在同位素Foldy-Wouthuysen表象中，费米子的基态（真空）是简并的，因此存在自发破缺宇称（P -对称性）的可能性。本研究考虑了在同位素Foldy-Wouthuysen表象中构建手征对称量子电动力学框架的例子。许多物理过程是在微扰理论的最低阶中计算的。计算结果与标准量子电动力学的结果一致。
英文摘要：
The paper introduces the isotopic Foldy-Wouthuysen representation. This representation was used to derive equations for massive interacting fermion fields. When the interaction Hamiltonian commutes with the matrix, these equations possess chiral invariance irrespective of whether fermions have mass or are massless. The isotopic Foldy-Wouthuysen representation preserves the vector and axial currents irrespective of the fermion mass value. In the Dirac representation, the axial current is preserved only for massless fermions. In the isotopic Foldy-Wouthuysen representation, the ground state of fermions (vacuum) turns out to be degenerate, and therefore there is the possibility of spontaneously breaking parity (P - symmetry). This study considers the example of constructing a chirally symmetric quantum electrodynamics framework in the isotopic Foldy-Wouthuysen representation. A number of physical processes are calculated in the lowest orders of the perturbation theory. Final results of the calculations agree with the results of the standard quantum electrodynamics.
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