Multidimensional Spinors, Invariant Form, and the Dirac Equation

被引：1

作者：

Monakhov, V. V. ^{[1
]}

Kozhedub, A. V. ^{[1
]}

机构：

[1] St Petersburg State Univ, St Petersburg 198504, Russia

来源：

PHYSICS OF PARTICLES AND NUCLEI | 2023年 / 54卷 / 03期

关键词：

ALGEBRA;

D O I：

10.1134/S1063779623030231

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We have studied restrictions on the invariant form and matrix of the generalized Dirac adjoint in a space of arbitrary dimension and signature and have shown that this matrix corresponds to the fundamental symmetry of the Krein space. We have proved that the choice of the generalized Dirac adjoint matrix uniquely determines which gamma matrices correspond to the time axes and which to the space axes.

引用

页码：480 / 488

页数：9

共 50 条

[1] Multidimensional Spinors, Invariant Form, and the Dirac Equation
V. V. Monakhov
A. V. Kozhedub
[J]. Physics of Particles and Nuclei, 2023, 54 : 480 - 488
[2] Holomorphic Spinors and the Dirac Equation
K.-D. Kirchberg
[J]. Annals of Global Analysis and Geometry, 1999, 17 : 97 - 111
[3] Holomorphic spinors and the Dirac equation
Kirchberg, KD
[J]. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 1999, 17 (02) : 97 - 111
[4] Real Spinors and Real Dirac Equation
Václav Zatloukal
[J]. Advances in Applied Clifford Algebras, 2022, 32
[5] Real Spinors and Real Dirac Equation
Zatloukal, Vaclav
[J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2022, 32 (04)
[6] RELATIVISTICALLY INVARIANT REPRESENTATION OF ARBITRARY BILINEAR COMBINATIONS OF DIRAC SPINORS
SHCHELKACHEV, AV
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 1993, 96 (01) : 779 - 791
[7] Geometric Spinors, Generalized Dirac Equation and Mirror Particles
Pavsic, Matej
[J]. THEORETICAL PHYSICS AND ITS NEW APPLICATIONS, 2014, : 61 - 70
[8] Invariant Dirac Operators, Harmonic Spinors, and Vanishing Theorems in CR Geometry
Leitner, Felipe
[J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2021, 17
[9] On negative energy 4-spinors and masses in the Dirac equation
Dvoeglazov, Valeriy V.
[J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2023, 20 (04)
[10] The five-dimensional Dirac equation in the theory of algebraic spinors
Monakhov V.V.
[J]. Bulletin of the Russian Academy of Sciences: Physics, 2017, 81 (10) : 1219 - 1224

← 1 2 3 4 5 →