Realistic simulation of NJL mechanism with vector-type coupling

Mitra, A. N. ; Mitra-Sodermark, Bani (1994) Realistic simulation of NJL mechanism with vector-type coupling International Journal of Modern Physics A, 9 (6). pp. 915-932. ISSN 0217-751X

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Official URL: http://www.worldscinet.com/ijmpa/09/0906/S0217751X...

Related URL: http://dx.doi.org/10.1142/S0217751X94000418

Abstract

The concrete possibilities for a realistic simulation of the Nambu–Jona-Lasino mechanism of dynamical mass generation are examined from the viewpoint of a vector-type confining form of four-fermion Lagrangian with a natural mass scale which substitutes for the canonical NJL model of contact interaction, and is designed to keep a conscious link with spectroscopy. Such Lagrangians are known to lead (through the minimality condition on the effective action) to both the Schwinger–Dyson and Bethe–Salpeter equations for the quark-mass operator Σ(p) and the hadron-quark vertex function ΓH(q, P) respectively. With a choice of the interaction which corresponds to a Lorentz-covariant generalization of the familiar instantaneous approximation, the related Bethe-Salpeter equation already provides a good description of both qq̅ and qqq spectra, as well a Lorentz-covariant access to different types of transition amplitudes via quark loops, within a common dynamical framework. With this precalibration, the model is subjected to the interlinked SDE and BSE for testing some key aspects of the NJL self-consistency mechanism by evaluating some basic constants. The results are: mNJL = 300 MeV, ; M2παmc;Mσ = 857 MeV; ‹qq̅›0 = (219 MeV)3. From these values two independent estimates of mc are found as 21.8 and 17.8 (MeV).

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