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arxiv: hep-ph/0406287 · v2 · pith:KY6AEA4Snew · submitted 2004-06-25 · ✦ hep-ph

Spontaneously broken quark helicity symmetry

classification ✦ hep-ph
keywords symmetrytheorybreakingbrokengaugehelicityinducedlightcone
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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.

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