Spin ½ model in statistical mechanics and relation to a truncation of the Riemann ξ function in the Riemann Hypothesis

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Submitted: April 17, 2023
Published: Jun 5, 2023
DOI: 10.29328/journal.ijpra.1001058

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Danilo Merlini
Research Center for Mathematics and Physics, CERFIM, Locarno, Switzerland
Luca Rusconi
Research Center for Mathematics and Physics, CERFIM, Locarno, Switzerland
Massimo Sala
Institute for Scientific and Interdisciplinary Studies, ISSI, Locarno, Switzerland
Nicoletta Sala*
Institute for Scientific and Interdisciplinary Studies, ISSI, Locarno, Switzerland

Abstract

In the search for a solution to the Riemann Hypothesis, we have studied an approach that connects the Riemann Problem with physical modeling that refers to statistical mechanics.


Thus, we study the relation between a truncation of the Riemann ξ function in the variable z = 1-1/s, where s is the usual complex variable (s=Re(s)+i·Im(s) = ρ + i·t) and the partition function of a ferromagnetic spin 1/2 model on a circle C with long-range interaction, to give a concrete look at a strategy for a possible proof of the Riemann Hypothesis.

Article Details

Merlini, D., Rusconi, L., Sala, M., & Sala, N. (2023). Spin ½ model in statistical mechanics and relation to a truncation of the Riemann ξ function in the Riemann Hypothesis. International Journal of Physics Research and Applications, 6(1), 115–116. https://doi.org/10.29328/journal.ijpra.1001058
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Copyright (c) 2023 Merlini D, et al.

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