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Nucleon and delta masses in QCD

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arxiv hep-ph/9211274 v1 pith:AJYMLUJY submitted 1992-11-02 hep-ph

classification hep-ph
keywords confinementcorrelatorsdeltamechanismnucleonpropagatorscenariostructure
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Using the positivity of the path integral measure of $QCD$ and defining a structure for the quark propagator in a background field according to the fluxon scenario for confinement, we calculate and compare the correlators for nucleon and delta. From their shape we elucidate about the origin of their mass difference, which in our simplified scenario is due to the tensor structure in the propagator. This term arises due to a dynamical mechanism which is responsible simultaneously for confinement and spontaneous chiral symmetry breaking. Finally we discuss, by comparing the calculated correlators with the Lehmann representation, the possibility that a strong CP and/or P violation occurs as a consequence of a specific mechanism for confinement.

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