Mathematical Physics
[Submitted on 26 May 2014 (v1), last revised 21 Oct 2014 (this version, v2)]
Title:One-loop effective action and the Riemann Zeros
View PDFAbstract: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.
Submission history
From: Gabriel Menezes [view email][v1] Mon, 26 May 2014 04:48:17 UTC (12 KB)
[v2] Tue, 21 Oct 2014 00:42:26 UTC (21 KB)
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