English

Dynamical vertex mass generation and chiral symmetry breaking on the light-front

High Energy Physics - Theory 2016-08-25 v1 High Energy Physics - Phenomenology

Abstract

Naively, helicity flip amplitudes for fermions seem to vanish in the chiral limit of light-front QCD, which would make it nearly impossible to generate a small pion mass in this framework. Using a simple model, it is illustrated how a large helicity flip amplitude is generated dynamically by summing over an infinite number of Fock space components. While the kinetic mass is basically generated by a zero-mode induced counter-term, the vertex mass is generated dynamically by infinitesimally small, but nonzero, momenta. Implications for the renormalization of light-front Hamiltonians for fermions are discussed.

Keywords

Cite

@article{arxiv.hep-th/9805088,
  title  = {Dynamical vertex mass generation and chiral symmetry breaking on the light-front},
  author = {Matthias Burkardt},
  journal= {arXiv preprint arXiv:hep-th/9805088},
  year   = {2016}
}