Chiral Lagrangian and chiral quark model from confinement in QCD

被引:9
作者
Simonov, Yu A. [1 ]
机构
[1] Inst Theoret & Expt Phys, State Res Ctr, Moscow 117218, Russia
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2016年 / 31卷 / 18期
关键词
Chiral Lagrangian; confinement; chiral quark model; PERTURBATION-THEORY; ONE-LOOP; PHENOMENOLOGICAL LAGRANGIANS; PSEUDOSCALAR MESONS; BROKEN SYMMETRIES; CONTOUR GAUGES; VACUUM; ANOMALIES; EXPANSION; CONDENSATE;
D O I
10.1142/S0217751X16501049
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
The effective chiral Lagrangian in both nonlocal form L-ECCL and standard local form L-ECL, derived in the vacuum correlator formalism in QCD, is studied in the chiral perturbation theory. It is shown, that all coefficients of LECL can be computed via q (q) over bar Green's functions. In the p(2) order of L-ECL one obtains GOR relations and quark decay constants f(a) are calculated a = 1,..., 8, while in the p(4) order the coefficients L-1, L-2, L-3, L-4, L-5, L-6 are obtained in good agreement with the values given by data. The chiral quark model is shown to be a simple consequence of L-ECCL with defined coefficients. It is demonstrated that L-ECCL gives an extension of the limiting low-energy Lagrangian L-ECL to arbitrary momenta.
引用
收藏
页数:24
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