Chiral effective Lagrangian in the large-N-c limit: The nonet case

被引:135
作者
HerreraSiklody, P
Latorre, JI
Pascual, P
Taron, J
机构
[1] BROOKHAVEN NATL LAB, BENASQUE CTR PHYS, UPTON, NY 11973 USA
[2] BROOKHAVEN NATL LAB, DEPT PHYS, UPTON, NY 11973 USA
关键词
eta'; chiral perturbation theory; heat-kernel renormalization;
D O I
10.1016/S0550-3213(97)00260-5
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
A U-L(3) X U-R(3) low-energy effective lagrangian for the nonet of pseudo-Goldstone bosons that appear in the large N-c 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)) X 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 on pointing out what features are at variance with the SUL X SUR results when the singlet eta' is included in the theory. (C) 1997 Elsevier Science B.V.
引用
收藏
页码:345 / 386
页数:42
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