English

Fermions with a bounded and discrete mass spectrum

High Energy Physics - Theory 2015-06-23 v6

Abstract

A mechanism for determining fermion masses in four spacetime dimensions is presented, which uses a scalar-field domain wall extending in a fifth spacelike dimension and a special choice of Yukawa coupling constants. A bounded and discrete fermion mass spectrum is obtained analytically for spinors localized in the fifth dimension. These particular mass values depend on a combination of the absolute value of the Yukawa coupling constant and the parameters of the scalar potential. A similar mechanism for a finite mass spectrum may apply to (1+1)(1+1)--dimensional fermions relevant to condensed matter physics.

Keywords

Cite

@article{arxiv.1412.1008,
  title  = {Fermions with a bounded and discrete mass spectrum},
  author = {F. R. Klinkhamer and L. Yang},
  journal= {arXiv preprint arXiv:1412.1008},
  year   = {2015}
}

Comments

15 pages, v6: published version

R2 v1 2026-06-22T07:18:20.178Z