Dirac equation in a 5-dimensional Kaluza-Klein theory

M. Ansari ()
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M. Ansari: North-Eastern Hill University

Indian Journal of Pure and Applied Mathematics, 2010, vol. 41, issue 6, 715-736

Abstract: Abstract Dirac equation is discussed in 5-dimensional space time having topology M 4 ×T 1, whereM 4 and T 1 both are curved. It is shown that 4-dimensional fermion can be obtained from 5-dimensional fermion, as a result of compactification of 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. 4-dimensional Dirac equation, obtained from 5-dimensional Dirac equation after compactification, is solved for an arbitrary mode for superheavy as well as light (realistic) fermions. Time-dependence of polarization vector and magnetization density, as a result of Gordon-decomposition of the current vector for 4-dimensional spin-½ field (with arbitrary mode), is exhibited.

Keywords: Fermions; Dirac equation; Kaluza-Klein theory; energy-momentum tensor (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s13226-010-0041-x

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