Spontaneously broken quark helicity symmetry
arXiv:hep-ph/0406287 · doi:10.1016/j.aop.2005.08.003
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.
27 pages, mostly rewritten with weaker assumptions and more complete analysis
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