"Supersymmetry and the Möbius inversion function"
Donald Spector
(from Communications in Mathematical Physics 127 (1990) 239252)
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 role in these constructions."
1. Introduction
2. Gödel, Möbius, Witten
3. Infinite Sums and the Prime Number Theorem
4. The Möbius Inversion Formula
5. Conclusions
References
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