Higher derivative fermionic field equation in the first-order formalism

被引：3
|
作者：
Kruglov, S. I. [1 ]
机构：
[1] Univ Toronto, Dept Physiol & Environm Sci, Toronto, ON M1C 1A4, Canada
来源：
CANADIAN JOURNAL OF PHYSICS | 2007年 / 85卷 / 08期
关键词：
D O I：
10.1139/P07-083
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The generalized Dirac equation of the third order, describing particles with spin 1/2 and three mass states, is analyzed. We obtain the first-order generalized Dirac equation in the 24-dimensional matrix form. The mass and spin projection operators are found that extract solutions of the wave equation corresponding to pure spin states of particles. The density of the electromagnetic current is obtained, and minimal and nonminimal (anomalous) electromagnetic interactions of fermions are considered by introducing three phenomenological parameters. The Hamiltonian form of the first-order equation is obtained.
引用
收藏
页码：887 / 897
页数：11
相关论文
共 50 条
  • [41] On the Constants in Inverse Theorems for the First-Order Derivative
    O. L. Vinogradov
    [J]. Vestnik St. Petersburg University, Mathematics, 2021, 54 : 334 - 344
  • [42] Relating higher-order and first-order rewriting
    Bonelli, E
    Kesner, D
    Rios, A
    [J]. JOURNAL OF LOGIC AND COMPUTATION, 2005, 15 (06) : 901 - 947
  • [43] First-order reasoning for higher-order concurrency
    Koutavas, Vasileios
    Hennessy, Matthew
    [J]. COMPUTER LANGUAGES SYSTEMS & STRUCTURES, 2012, 38 (03) : 242 - 277
  • [44] Interpretation of the first-order formalism of f(R)-type gravity and the corresponding second-order formalism
    Ezawa, Y
    Iwasaki, H
    Ohkuwa, Y
    Uegaki, T
    Yamada, N
    Yano, T
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 2004, 119 (12): : 1141 - 1148
  • [45] Fermionic functional renormalization-group for first-order phase transitions: a mean-field model
    Gersch, R.
    Reiss, J.
    Honerkamp, C.
    [J]. NEW JOURNAL OF PHYSICS, 2006, 8
  • [46] Higher derivative gravity: Field equation as the equation of state
    Dey, Ramit
    Liberati, Stefano
    Mohd, Arif
    [J]. PHYSICAL REVIEW D, 2016, 94 (04)
  • [47] First-order logic based formalism for temporal data mining
    Cotofrei, P
    Stoffel, K
    [J]. FOUNDATIONS OF DATA MINING AND KNOWLEDGE DISCOVERY, 2005, 6 : 185 - 210
  • [48] Modeling Dark Sector in Horndeski Gravity at First-Order Formalism
    Santos, F. F.
    Neves, R. M. P.
    Brito, F. A.
    [J]. ADVANCES IN HIGH ENERGY PHYSICS, 2019, 2019
  • [49] Hamiltonian analysis of ModMax nonlinear electrodynamics in the first-order formalism
    Escobar, C. A.
    Linares, Roman
    Tlatelpa-Mascote, B.
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2022, 37 (03):
  • [50] Superspace first-order formalism for massless arbitrary superspin supermultiplets
    Koutrolikos, Konstantinos
    [J]. PHYSICAL REVIEW D, 2022, 105 (12)
12345