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Two- and Three-Point Functions in the Extended NJL Model
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abstract
The two-point functions in generalized Nambu--Jona-Lasinio models are calculated to all orders in momenta and quark masses to leading order in $1/N_c$. The use of Ward identities and the heat-kernel expansion allows for a large degree of regularization independence. We also show how this approach works to the same order for three-point functions on the example of the vector-pseudoscalar-pseudoscalar three-point function. The inclusion of the chiral anomaly effects at this level is shown by calculating the pseudoscalar-vector-vector three-point function to the same order. Finally we comment on how (vector-)meson-dominance comes out in the presence of explicit chiral symmetry breaking in both the anomalous and the non-anomalous sectors.
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Cited by 1 Pith paper
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The light-by-light contribution to the muon g-2 within the nonlocal chiral quark model with vector and axial-vector mesons
The nonlocal chiral quark model with vector and axial-vector mesons yields a hadronic light-by-light contribution to the muon g-2 of (157±10.6)x10^-11, with vector-meson photon dressing contributing only a few units.
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