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Pion wave function from lattice QCD vs. chiral quark models

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arxiv 0911.4705 v1 pith:2K5ZZUII submitted 2009-11-24 hep-ph hep-lat

classification hep-phhep-lat
keywords latticequarkequal-timefunctionmodelnambu--jona-lasinioobtainedpion
verification ladder T0 review T1 audit T2 compute T3 formal
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We analyze the equal-time Bethe-Salpeter quark wave function of the pion obtained from a quenched lattice QCD calculation with delocalized quark interpolators. We find that the result agrees remarkably well with the predictions of the Nambu--Jona-Lasinio model in all channels. We choose the quenched lattice QCD, since it is closer to the large-Nc limit of the Nambu--Jona-Lasinio model. We also show how transversity information, relevant for the light-cone physics, can be obtained from our equal-time rest-frame lattice calculations.

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