Dirac equation in a 5-dimensional Kaluza-Klein theory
type: Item
instance of: scholarly article
title: Dirac equation in a 5-dimensional Kaluza-Klein theory
zbMATH Open document ID: 1227.83029
author: Yong-Cai Geng
author: Sumit K. Garg
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2011-07-13T00:00:00Z
full work available at URL: https://dergipark.org.tr/tr/pub/iusfjm/issue/9444/118447
review text: The Dirac equation is discussed in 5-dimensional space time having topology \(M(4)\times T(1)\), where \(M(4)\) and \(T(1)\) both are curved. It is shown that the 4-dimensional fermion can be obtained from the 5-dimensional fermion, as a result of a compactification of the extra dimension. It is found that the realistic 4-dimensional fermions are possible in higher modes earlier than those in lower modes during the course of expansion of 4-dimensional universe. The 4-dimensional Dirac equation, obtained from the 5-dimensional Dirac equation after compactification, is solved for an arbitrary mode for superheavy as well as light (realistic) fermions. Time-dependence of the polarization vector and magnetization density, as a result of a Gordon-decomposition of the current vector for the 4-dimensional spin-\(\frac12\) field (with arbitrary mode), is exhibited.
reviewed by: Alex B. Gaina
Mathematics Subject Classification ID: 83E15
Mathematics Subject Classification ID: 83C60
Mathematics Subject Classification ID: 83C40
zbMATH DE Number: 5919944
zbMATH Keywords: fermions
zbMATH Keywords: Dirac equation
zbMATH Keywords: Kaluza-Klein theory
zbMATH Keywords: energy-momentum tensor
MaRDI profile type: Publication
OpenAlex ID: W1973714756
cites work: Q3849729
cites work: Search for a realistic Kaluza-Klein theory
cites work: Modern Kaluza-Klein theories
cites work: Quantum field theory techniques in graphical enumeration
DOI: 10.1007/S13226-010-0041-X
description: scientific article; zbMATH DE number 5919944