English

Minimal Length and Generalized Dirac Equation

High Energy Physics - Theory 2009-11-11 v1

Abstract

Existence of a minimal observable length which has been indicated by string theory and quantum gravity, leads to a modification of Dirac equation. In this letter we find this modified Dirac equation and solve its eigenvalue problem for a free particle. We will show that due to background spacetime fluctuation, it is impossible to have free particle in Planck scale.

Keywords

Cite

@article{arxiv.hep-th/0507028,
  title  = {Minimal Length and Generalized Dirac Equation},
  author = {Kourosh Nozari and Mojdeh Karami},
  journal= {arXiv preprint arXiv:hep-th/0507028},
  year   = {2009}
}

Comments

10 pages, no figure