Flow equations for chiral problem in QCD

Details Flow equations for chiral problem in QCD Flow equations for chiral problem in QCD

2001-12-15

arxiv.org/abs/hep-ph/0112213v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

66 pages, 14 figures

Scientific paper

We analyze the chiral symmetry breaking of QCD in the Coulomb gauge. Using flow equations, we derive the renormalized gap equation and the Bethe-Salpeter equation and show that they are finite in both UV and IR regions. No additional UV renormalization is required in the chiral limit. We take into account the hyperfine interaction as well as chiral symmetry breaking and obtain the $\pi-\rho$ mass splitting caused by the instantaneous and dynamical interactions.

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