English

Spontaneously broken quark helicity symmetry

High Energy Physics - Phenomenology 2015-06-25 v2

Abstract

We discuss the origin of chiral symmetry breaking in the light-cone representation of QCD. In particular, we show how quark helicity symmetry is spontaneously broken in SU(N) gauge theory with massless quarks if that theory has a condensate of fermion lightcone zero modes. The symmetry breaking appears as induced interactions in an effective lightcone Hamiltonian equation based on a trivial vacuum. The induced interaction is crucial for generating a splitting between pseudoscalar and vector meson masses, which we illustrate with spectrum calculations in some 1+1-dimensional reduced models of gauge theory.

Keywords

Cite

@article{arxiv.hep-ph/0406287,
  title  = {Spontaneously broken quark helicity symmetry},
  author = {S. Dalley and G. McCartor},
  journal= {arXiv preprint arXiv:hep-ph/0406287},
  year   = {2015}
}

Comments

27 pages, mostly rewritten with weaker assumptions and more complete analysis

R2 v1 2026-07-22T13:55:38.665Z