Phys. Rev. Lett. 67, 781–784 (1991)Path integrals as discrete sumsReceived 10 April 1991; published in the issue dated 12 August 1991 We present a new formulation of Feynman’s path integral, based on Voronin’s theorems on the universality of the Riemann zeta function. The result is a discrete sum over ‘‘paths,’’ each given by a zeta function. A new measure which leads to the correct quantum mechanics is explicitly given. © 1991 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.67.781
DOI:
10.1103/PhysRevLett.67.781
PACS:
03.65.Db, 11.10.-z
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