Chiral Effective Lagrangian in the large-Nc limit: the nonet case

Details Chiral Effective Lagrangian in the large-Nc limit: the nonet case Chiral Effective Lagrangian in the large-Nc limit: the nonet case

1996-10-31

arxiv.org/abs/hep-ph/9610549v1

Nucl.Phys. B497 (1997) 345-386

Physics

High Energy Physics

High Energy Physics - Phenomenology

41 pages, Latex

Scientific paper

10.1016/S0550-3213(97)00260-5

A U_L(3) \otimes U_R(3) low-energy effective lagrangian for the nonet of pseudogoldstone bosons that appear in the large-Nc limit of QCD is presented including terms up to four derivatives and explicit symmetry breaking terms up to quadratic in the quark masses. The one-loop renormalization of the couplings is worked out using the heat-kernel technique and dimensional renormalization. The calculation is carried through for U_L(n_l) \otimes U_R(n_l), thus allowing for a generic number n_l of light quark flavours. The crucial advantages that the expansion in powers of 1/N_c bring about are discussed. Special emphasis is put in pointing out what features are at variance with the SU_L \otimes SU_R results when the singlet \eta' is included in the theory.

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