DIRAC EQUATION IN NON-RIEMANNIAN GEOMETRIES

被引：7

作者：

Formiga, J. B. ^{[1
]}

Romero, C. ^{[2
]}

机构：

[1] Univ Estadual Piaui, Ctr Ciencias Nat, BR-64002150 Teresina, Brazil

[2] Univ Fed Paraiba, Dept Fis, BR-58005197 Joao Pessoa, Paraiba, Brazil

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2013年 / 10卷 / 07期

关键词：

Dirac equation; non-Riemannian geometry; minimal coupling procedure; SPIN-CONNECTION; TORSION;

D O I：

10.1142/S0219887813200120

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present the Dirac equation in a geometry with torsion and non-metricity balancing generality and simplicity as much as possible. In doing so, we use the vielbein formalism and the Clifford algebra. We also use an index-free formalism which allows us to construct objects that are totally invariant. It turns out that the previous apparatuses not only make possible a simple deduction of the Dirac equation but also allow us to exhibit some details that is generally obscure in the literature.

引用

页数：10

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