Dirac equation in a 5-dimensional Kaluza-Klein theory |
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Authors: | M Ansari |
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Institution: | (1) Gruppo Nazionale per la Fisica Matematica, Milano, Italy;(2) Dipartimento di Fisica dell' Universita' and INFN, Sezione di Milano, Via Celoria 16, I-20133 Milano, Italy |
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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. |
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