Spontaneous compactification and quantized charges

1990
8 pages
Published in:
  • Int.J.Theor.Phys. 29 (1990) 1065-1072

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Abstract: (Springer)
We modify the Weinberg formalism relating gauge coupling constants to averaged circumferences of compact spaces by divorcing it from its original Kaluza-Klein geometrical context. The resulting more versatile formalism is then used to prove a theorem giving a formula for a new kind of quantized charge for the case of spontaneous compactification, defined as the situation where the solutions of the Euler-Lagrange field equations are periodic in one or more of the parameters of the noncompact invariance group of the action. The theorem is applied to the example of periodic waves.
  • Kaluza-Klein model
  • dimension: >4
  • compactification
  • dimensional reduction
  • coupling constant
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