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Bibliographic Details
Main Authors: Lourenço, José A. S., Pará, Ygor, Furtado, J.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2408.12108
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Table of Contents:
  • In this paper we investigate the arising of non-hermitian phase transitions on quantum torus surfaces. We consider a single fermion whose dynamics is governed by the Dirac equation confined to move on a quantum torus surface. The effects of the geometry are take into account by using the tetrad formalism and the spin connection. The Dirac equation gives rise to two coupled first-order differential equations for each spinor component. The eigenvalues and eigenfunctions for each spinor component are computed numerically and the non-hermitian phase transitions are investigated in terms of the geometric features of the torus and the magnitude of the imaginary component of the mass.