On Kaluza-Klein Theory

Oct, 1981
53 pages
Published in:
  • Annals Phys. 141 (1982) 316-352
Report number:
  • IC-81-211

Citations per year

19811992200320142025020406080100
Abstract: (Elsevier)
Assuming the compactification of 4 + K -dimensional space-time implied in Kaluza-Kleintype theories, we consider the case in which the internal manifold is a quotient space, G H . We develop normal mode expansions on the internal manifold and show that the conventional gravitational plus Yang-Mills theory (realizing local G symmetry) is obtained in the leading approximation. The higher terms in the expansions give rise to field theories of massive particles. In particular, for the original Kaluza-Klein 4 + 1-dimensional theory, the higher excitations describe massive, charged, purely spin-2 particles. These belong to infinite dimensional representations of an O (1,2).
  • Kaluza-Klein model
  • dimension: >4
  • space-time
  • coset space
  • dimensional reduction
  • gauge field theory: Yang-Mills
  • particle: multiplet
  • multiplet: particle
  • spin: high
  • high: spin
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