Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1992-06-19
Nucl.Phys.B390:501-541,1993
Physics
High Energy Physics
High Energy Physics - Phenomenology
50 pages, LaTeX, 4 LaTeX figures included
Scientific paper
10.1016/0550-3213(93)90466-3
We present a derivation of the low energy effective action of an extended Nambu Jona-Lasinio (ENJL) model to $O(p^4)$ in the chiral counting. Two alternative scenarios are considered on how the ENJL model could originate as a low energy approximation to QCD. The low energy effective Lagrangian we derive includes the usual pseudoscalar Goldstone modes, as well as the lower scalar, vector and axial-vector degrees of freedom. By taking appropriate limits, we recover most of the effective low-energy models discussed in the literature; in particular the gauged Yang-Mills vector Lagrangian, the Georgi-Manohar constituent quark-meson model, and the QCD effective action approach model. Another property of the ensuing effective Lagrangian is that it incorporates most of the short-distance relations which follow from QCD. (We derive these relations in the presence of all possible gluonic interactions to leading order in the $1/N_c$-expansion.) Finally the numerical predictions are compared to the experimental values of the low energy parameters
Bijnens Johan
Bruno Christophe
Rafael Eduardo de
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