Generalization of Dirac Conjugation in the Superalgebraic Theory of Spinors

被引：0
作者：
V. V. Monakhov
机构：
[1] St. Petersburg State University,
来源：
Theoretical and Mathematical Physics | 2019年 / 200卷
关键词：
second quantization; CAR algebra; Clifford algebra; Dirac matrix; spinor; Dirac conjugation; Lorentz transformation; Lorentz covariance; causality; charge operator;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the superalgebraic representation of spinors using Grassmann densities and the corresponding derivatives, we introduce a generalization of Dirac conjugation, and this generalization yields Lorentz-covariant transformations of conjugate spinors. The signature of the generalized gamma matrices, the number of them, and the decomposition of second quantization with respect to momenta are given by a variant of the generalized Dirac conjugation and by the requirement that the algebra of canonical anticommutation relations should be preserved under transformations of spinors and conjugate spinors.
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页码：1026 / 1042
页数：16
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