English

A Dirac type xp-Model and the Riemann Zeros

Mathematical Physics 2013-05-07 v3 Strongly Correlated Electrons High Energy Physics - Theory math.MP Quantum Physics

Abstract

We propose a Dirac type modification of the xp-model to a x\slashedpx \slashed{p} model on a semi-infinite cylinder. This model is inspired by recent work by Sierra et al on the xp-model on the half-line. Our model realizes the Berry-Keating conjecture on the Riemann zeros. We indicate the connection of our model to that of gapped graphene with a supercritical Coulomb charge, which might provide a physical system for the study of the zeros of the Riemann Zeta function.

Cite

@article{arxiv.1205.6755,
  title  = {A Dirac type xp-Model and the Riemann Zeros},
  author = {Kumar S. Gupta and E. Harikumar and Amilcar R. de Queiroz},
  journal= {arXiv preprint arXiv:1205.6755},
  year   = {2013}
}

Comments

5 pages, two-column, substantial modification to the text, new equations added

R2 v1 2026-06-21T21:11:54.221Z