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Communications in Mathematical Physics

, Volume 127, Issue 2, pp 239–252 | Cite as

Supersymmetry and the Möbius inversion function

  • Donald Spector
Article

Abstract

We show that the Möbius inversion function of number theory can be interpreted as the operator (−1) F in quantum field theory. Consequently, we are able to provide physical interpretations for various properties of the Möbius inversion function. These include a physical understanding of the Möbius Inversion Formula and of a result that is equivalent to the prime number theorem. Supersymmetry and the Witten index play a central rôle in these constructions.

Keywords

Neural Network Statistical Physic Field Theory Complex System Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Donald Spector
    • 1
  1. 1.Institute for Theoretical PhysicsUniversity of UtrechtUtrechtThe Netherlands

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