The Clifford Algebra of Physical Space and Elko Spinors

被引：9
作者：
Vaz, Jayme, Jr. [1 ]
机构：
[1] Univ Estadual Campinas UNICAMP, Dept Matemat Aplicada IMECC, BR-13081970 Campinas, SP, Brazil
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2018年 / 57卷 / 02期
关键词：
Clifford algebras; Elko spinors; Charge conjugation operator; Wave equation; Dirac equation; NEUTRAL PARTICLES; FIELDS; PARITY;
D O I：
10.1007/s10773-017-3591-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Elko spinors are eigenspinors of the charge conjugation operator. In this work we use the Clifford algebra of the physical space in order to formulate the theory of Elko spinors and use a procedure analog to Ryder's derivation of Dirac equation to come up with an equation for Elko spinor fields. Unlike other works in the literature where an equation for Elko spinor fields has been studied, in this work we obtain a first order differential equation for Elko spinor fields, which resembles but is different from the Dirac equation.
引用
收藏
页码：582 / 601
页数：20
相关论文
共 28 条
  • [1] The Theory of Local Mass Dimension One Fermions of Spin One Half
    Ahluwalia, Dharam Vir
    [J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017, 27 (03) : 2247 - 2285
  • [2] Theory of neutral particles: McLennan-Case construct for neutrino, its generalization, and a new wave equation
    Ahluwalia, DV
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1996, 11 (10): : 1855 - 1874
  • [3] Ahluwalia-Khalilova DV., 2005, JCAP, V0507, P012, DOI [10.1088/1475-7516/2005/07/012, DOI 10.1088/1475-7516/2005/07/012]
  • [4] [Anonymous], 2016, INTRO CLIFFORD ALGEB
  • [5] The Complex Algebra of Physical Space: A Framework for Relativity
    Baylis, W. E.
    Keselica, J. D.
    [J]. ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2012, 22 (03) : 537 - 561
  • [6] Baylis WE, 2004, NATO SCI SER II MATH, V136, P363
  • [7] Baylis WE, 2004, NATO SCI SER II MATH, V136, P127
  • [8] Baylis WE, 2004, LECTURES ON CLIFFORD (GEOMETRIC) ALGEBRAS AND APPLICATIONS, P91
  • [9] Baylis WE, 1996, CLIFFORD (GEOMETRIC) ALGEBRAS WITH APPLICATIONS TO PHYSICS, MATHEMATICS, AND ENGINEERING, P237
  • [10] Particle dark matter: evidence, candidates and constraints
    Bertone, G
    Hooper, D
    Silk, J
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2005, 405 (5-6): : 279 - 390
123