Chirally symmetric O(1/N{sub c}) corrections to the Nambu-Jona-Lasinio model
- Univ. of the Witwatersrand, Johannesburg (South Africa)
We develop an extended chirally symmetric self-consistent approximation scheme to the Nambu-Jona-Lasinio model, that corresponds to O(1/N{sub c}) corrections to the usual Hartree + random phase approximations. This scheme amounts to adding {open_quotes}meson cloud{close_quotes} contributions self-consistently to the quark self-energy and the meson polarization functions in a manner suggested by the weakly interacting nature of the quark and collective meson degrees of freedom of the NJL model in the large N{sub c} limit. We demonstrate explicitly that this scheme fulfills all the chiral symmetry theorems, namely the Goldstone theorem, the Goldberger-Treiman relation, and the conservation of the quark axial current. We explore the corrections to the quark self-energy and scalar condensate, as well as to the pion polarization function and the weak decay constant N{sub n}. The numerical evaluation of these corrections is presented and discussed. 23 refs., 14 figs., 2 tabs.
- OSTI ID:
- 102921
- Journal Information:
- Annals of Physics (New York), Vol. 238, Issue 2; Other Information: PBD: Mar 1995
- Country of Publication:
- United States
- Language:
- English
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