Analytic perturbation theory versus 1/N expansion in the Gross-Neveu model

被引:3
作者
Osipov, A. A. [1 ]
Hiller, B.
Blin, A. H.
机构
[1] Joint Nucl Res Inst, Dzhelepov Lab Nucl Problems, R-141980 Dubna, Russia
[2] Univ Coimbra, Ctr Fis Teor, Dept Fis, P-3004516 Coimbra, Portugal
关键词
SYMMETRY-BREAKING; 2-DIMENSIONAL SYSTEMS; CHIRAL-SYMMETRY; QCD OBSERVABLES; RENORMALIZATION; FERMIONS;
D O I
10.1016/j.physletb.2007.08.020
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The 1/N expansion can be successfully used to calculate the Green functions of the two-dimensional O(2N) Gross-Neveu model. In parallel, the methods of analytic perturbation theory are also applied. Comparing the results of these two calculations at leading order, we report on the surprising agreement between them. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:346 / 349
页数:4
相关论文
共 27 条
[1]  
[Anonymous], 1996, JINR Rapid Commun.
[2]  
Baldicchi M, 2005, AIP CONF PROC, V756, P152, DOI 10.1063/1.1920942
[3]  
BALDICCHI M, HEPPH0611087
[4]  
BALDICCHI M, HEPPH07050329
[5]   BOSONIZATION OF SU(N) THIRRING MODELS [J].
BANKS, T ;
HORN, D ;
NEUBERGER, H .
NUCLEAR PHYSICS B, 1976, 108 (01) :119-129
[6]  
BEREZINSKII VL, 1971, SOV PHYS JETP-USSR, V32, P493
[7]   SCATTERING-AMPLITUDES OF GROSS-NEVEU AND NON-LINEAR SIGMA-MODELS IN HIGHER ORDERS OF 1-N-EXPANSION [J].
BERG, B ;
KAROWSKI, M ;
KURAK, V ;
WEISZ, P .
PHYSICS LETTERS B, 1978, 76 (04) :502-504
[8]  
BOGOLIUBOV NN, 1956, SOV PHYS JETP-USSR, V3, P57
[9]  
BOGOLIUBOV NN, 1956, SOV PHYS JETP, V3, P77
[10]  
BOGOLIUBOV NN, 1960, ZH EKSP TEOR FIZ, V37, P574