Supersymmetry and the Möbius inversion function |
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Authors: | Donald Spector |
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Institution: | (1) Institute for Theoretical Physics, University of Utrecht, Princetonplein 5, Postbus 80.006, NL-3508 TA Utrecht, The Netherlands |
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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. |
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