The Riemann Zeta Function and Vacuum Spectrum
| dc.creator | Joffily, S. | |
| dc.date | 2004-12-18 | |
| dc.date.accessioned | 2026-07-07T06:23:03Z | |
| dc.date.available | 2026-07-07T06:23:03Z | |
| dc.description | A variant for the Hilbert and Polya spectral interpretation of the Riemann zeta function is proposed. Instead of looking for a self-adjoint linear operator H, whose spectrum coincides with the Riemann zeta zeros, we look for the complex poles of the S matrix that are mapped into the critical line in coincidence with the nontrivial Riemann zeroes. The associated quantum system, an infinity of "virtual resonances" described by the corresponding S matrix poles, can be interpreted as the quantum vacuum. The distribution of energy levels differences associated to these resonances shows the same characteristic features of random matrix theory. | |
| dc.description | 9 pages, 4 figures. Talk presented at the ``Fourth International Winter Conference on Mathematical Methods in Physics'', held at Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro, Brazil, 09 - 13 August 2004 | |
| dc.identifier | https://arxiv.org/abs/hep-th/0412217 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0412217 | |
| dc.identifier | PoS WC2004 (2004) 026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96104 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Riemann Zeta Function and Vacuum Spectrum | |
| dc.type | text |