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One-loop effective action and the Riemann Zeros

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 نشر من قبل Gabriel Menezes
 تاريخ النشر 2014
  مجال البحث فيزياء
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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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