Two- and Three-Point Functions in the Extended NJL Model

Details Two- and Three-Point Functions in the Extended NJL Model Two- and Three-Point Functions in the Extended NJL Model

1994-03-07

arxiv.org/abs/hep-ph/9403233v2

Z.Phys.C64:475-494,1994

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 42 pages, 3 latex figures, 7 postscript figures included, NORDITA 94/11 N,P. Improvement in the regularization procedur

Scientific paper

10.1007/BF01560109

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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