On Kaluza-Klein theory
1982; Elsevier BV; Volume: 141; Issue: 2 Linguagem: Inglês
10.1016/0003-4916(82)90291-3
ISSN1096-035X
Autores Tópico(s)Noncommutative and Quantum Gravity Theories
ResumoAssuming 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, GH. 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).
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