Abstract
We analyze chiral symmetry breaking in QCD in Coulomb gauge. Using the Ward identities, we derive the renormalized gap equation from the renormalized Dyson equation for the vector and axial-vector vertices. We work within the ladder approximation, in which the Bethe-Salpeter kernel is a sum of longitudinal and transverse terms, depending only on momentum transfer. This relates the chiral symmetry breaking parameters to the static quark potential. When transverse gluon exchange is neglected, our gap equation agrees in the infrared with that obtained by Amer et al. from a non-normal-ordered Coulomb gauge hamiltonian, while disagreeing with the gap equation obtained by Finger and Mandula using a normal-ordering prescription. The corrected gap equation leads to infrared-finite formulas for the effective quark and pion parameters, in which integrals for physical quantities converge for an infrared-singular confining potential V c ∞ q −4; we present the results of a numerical solution in this case.
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