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Gap and Bethe-Salpeter equations in Coulomb gauge

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arxiv 1212.4814 v1 pith:57PHBXIA submitted 2012-12-19 hep-ph nucl-th

Gap and Bethe-Salpeter equations in Coulomb gauge

classification hep-ph nucl-th
keywords bethe-salpeterequationquarkcoulombdiscussequationsgaugemasses
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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I will discuss the gap and Bethe-Salpeter equations for quantum chromodynamics in Coulomb gauge under a leading order truncation scheme. Within this scheme, the role of charge conservation and the cancellation of infrared divergences becomes particularly clear. The quark gap equation exhibits not only chiral symmetry breaking, but explicitly reproduces the heavy quark limit. The corresponding gluon equation has a massive solution with interesting nonperturbative renormalization properties. I will further discuss various aspects of the Bethe-Salpeter equation for pseudoscalar and vector mesons with arbitrary quark masses and present numerical results for the meson masses and leptonic decay constants.

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