2-POINT AND 3-POINT FUNCTIONS IN THE EXTENDED NJL MODEL

被引:31
作者
BIJNENS, J [1 ]
PRADES, J [1 ]
机构
[1] NEILS BOHR INST, DK-2100 COPENHAGEN 0, DENMARK
来源
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS | 1994年 / 64卷 / 03期
关键词
D O I
10.1007/BF01560109
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
The two-point functions in generalized Nambu-Jona-Lasinio models are calculated to all orders in momenta and quark masses to leading order in 1/N(c). The use of Ward identities and the heat-kernel expansion allows for a large degree of regularization independence. We also show how this approach works to the same order for three-point functions on the example of the vector-pseudoscalar-pseudoscalar three-point function. The inclusion of the chiral anomaly effects at this level is shown by calculating the pseudoscalar-vector-vector three-point function to the same order. Finally we comment on how (vector-) meson-dominance comes out in the presence of explicit chiral symmetry breaking in both the anomalous and the non-anomalous sectors.
引用
收藏
页码:475 / 494
页数:20
相关论文
共 45 条
[1]   ABSENCE OF HIGHER-ORDER CORRECTIONS IN ANOMALOUS AXIAL-VECTOR DIVERGENCE EQUATION [J].
ADLER, SL ;
BARDEEN, WA .
PHYSICAL REVIEW, 1969, 182 (05) :1517-&
[2]   AXIAL-VECTOR VERTEX IN SPINOR ELECTRODYNAMICS [J].
ADLER, SL .
PHYSICAL REVIEW, 1969, 177 (5P2) :2426-&
[3]   THE QUARK TRIANGLE - APPLICATION TO PION AND ETA DECAYS [J].
AMETLLER, L ;
BERGSTROM, L ;
BRAMON, A ;
MASSO, E .
NUCLEAR PHYSICS B, 1983, 228 (02) :301-315
[4]  
BALL RD, 1989, PHYS REP, V182, P3
[5]  
BALL RD, 1993, IN PRESS SEP P C MAN
[6]   NONLINEAR REALIZATION AND HIDDEN LOCAL SYMMETRIES [J].
BANDO, M ;
KUGO, T ;
YAMAWAKI, K .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1988, 164 (4-5) :217-314
[7]   ANOMALOUS WARD IDENTITIES IN SPINOR FIELD THEORIES [J].
BARDEEN, WA .
PHYSICAL REVIEW, 1969, 184 (05) :1848-&
[8]  
BEHREND HJ, 1991, Z PHYS C PART FIELDS, V49, P401, DOI 10.1007/BF01549692
[9]   A PCAC PUZZLE - PI0-)GAMMAGAMMA IN SIGMA-MODEL [J].
BELL, JS ;
JACKIW, R .
NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1969, 60 (01) :47-+
[10]   THE MOMENTUM-SPACE BOSONIZATION OF THE NAMBU-JONA-LASINIO MODEL WITH VECTOR AND AXIAL-VECTOR MESONS [J].
BERNARD, V ;
MEISSNER, UG ;
OSIPOV, AA .
PHYSICS LETTERS B, 1994, 324 (02) :201-208