CONSISTENT TREATMENT OF THE BOSONIZED NAMBU-JONA-LASINIO MODEL

被引:46
作者
BERNARD, V
OSIPOV, AA
MEISSNER, UG
机构
[1] UNIV LOUIS PASTEUR,F-67037 STRASBOURG 2,FRANCE
[2] UNIV BERN,INST THEORET PHYS,CH-3012 BERN,SWITZERLAND
[3] JOINT INST NUCL RES,NUCL PROBLEMS LAB,DUBNA 141980,USSR
关键词
D O I
10.1016/0370-2693(92)91309-W
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We suggest a systematic method for evaluating any mesonic N-point function in the bosonized Nambu-Jona-Lasinio model. We introduce a transformation of the bosonic fields which allows to develop the Hartree-Fock method in the framework of the bosonized NJL model. We obtain the usual picture of one-loop quark graphs with the external meson legs. However, the meson-quark couplings are momentum-dependent and the finite pieces of the quark loop integrals can be calculated exactly and in harmony with the low-energy theorems of current algebra. As an example, the pi-pi-scattering amplitude is considered,
引用
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页码:119 / 125
页数:7
相关论文
共 34 条
[1]  
BALL R, 1987, P WORKSHOP SKYRMIONS
[2]   MESONS, SKYRMIONS AND BARYONS [J].
BALL, RD .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1990, 5 (23) :4391-4426
[3]   4-POINT FUNCTIONS IN QUARK FLAVOR DYNAMICS - MESON MESON SCATTERING [J].
BERNARD, V ;
MEISSNER, UG ;
BLIN, AH ;
HILLER, B .
PHYSICS LETTERS B, 1991, 253 (3-4) :443-450
[4]   THE NAMBU-JONA-LASINIO MODEL IN THE LIGHT OF CHIRAL PERTURBATION-THEORY REVISITED [J].
BERNARD, V ;
MEISSNER, UG .
PHYSICS LETTERS B, 1991, 266 (3-4) :403-407
[5]   THE GOLDSTONE PION AND THE QUARK ANTIQUARK PION .1. PION MASS AND STRENGTH FUNCTION [J].
BERNARD, V ;
BROCKMANN, R ;
SCHADEN, M ;
WEISE, W ;
WERNER, E .
NUCLEAR PHYSICS A, 1984, 412 (03) :349-372
[6]   REMARKS ON DYNAMIC BREAKING OF CHIRAL SYMMETRY AND PION PROPERTIES IN THE NAMBU AND JONA-LASINIO MODEL [J].
BERNARD, V .
PHYSICAL REVIEW D, 1986, 34 (05) :1601-1605
[7]   STRANGENESS MIXING AND QUENCHING IN THE NAMBU-JONA-LASINIO MODEL [J].
BERNARD, V ;
JAFFE, RL ;
MEISSNER, UG .
NUCLEAR PHYSICS B, 1988, 308 (04) :753-790
[8]  
CAHILL R, 1985, PHYS REV D, V32, P2418
[9]   NAMBU-JONA-LASINIO MODEL - AN EFFECTIVE LAGRANGIAN FOR QUANTUM CHROMODYNAMICS AT INTERMEDIATE LENGTH SCALES [J].
DHAR, A ;
WADIA, SR .
PHYSICAL REVIEW LETTERS, 1984, 52 (12) :959-962
[10]   NAMBU-JONA-LASINIO TYPE EFFECTIVE LAGRANGIAN - ANOMALIES AND NONLINEAR LAGRANGIAN OF LOW-ENERGY, LARGE-N QCD [J].
DHAR, A ;
SHANKAR, R ;
WADIA, SR .
PHYSICAL REVIEW D, 1985, 31 (12) :3256-3267