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arXiv · 1405.6458

One-loop effective action and the Riemann Zeros

J. G. Dueñas·N. F. Svaiter·G. Menezes
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Abstract

We present a remarkable connection between the asymptotic behavior of the Riemann zeros and one-loop effective action in Euclidean scalar field theory. We show that in a two-dimensional space, the asymptotic behavior of the Fourier transform of two-point correlation functions fits the asymptotic distribution of the non-trivial zeros of the Riemann zeta function. We work out an explicit example, namely the non-linear sigma model in the leading order in $1/N$ expansion.

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J. G. Dueñas, N. F. Svaiter, G. Menezes. 2014-05-26. One-loop effective action and the Riemann Zeros. https://doi.org/10.1142/s0217751x14501826

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