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Dirac Equation in a 5-dimensional Kaluza-Klein Theory

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 2008-2009

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
Dirac equation is discussed in 5-dimensional space time having topol- ogy M4 £ T1, where M4 and T1 both are curved. It is shown that 4-dimensional fermion can be obtained from 5-dimensional fermion, as a result of compacti¯cation 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 compacti¯cation, is solved for an arbitrary modes for super- heavy 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- 1 2 ¯eld (with arbitrary mode), is exhibited.
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FULL TEXT (PDF): 
PDF icon arastrmx_190866_3_pp_189-206.pdf
189-206
  • English

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REFERENCES

References: 

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