Geodesic
Meson contributions in the Nambu–Jona-Lasinio model
Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 1, pp. 81-95 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We discuss the problem of calculating corrections to the mean-field approximation in the Nambu–Jona-Lasinio model. To calculate such corrections, we propose using the method of the Legendre transformation with respect to a bilocal source, which allows taking symmetry constraints related to the chiral Ward identity into account effectively. Using the proposed method, we determine the corrections to the quark propagator and the two-particle quark function.
Keywords: Nambu–Jona-Lasinio model, mean-field expansion, chiral Ward identity.
Mots-clés : Legendre transformation 
@article{TMF_2009_159_1_a4,
     author = {V. E. Rochev},
     title = {Meson contributions in {the~Nambu{\textendash}Jona-Lasinio} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {81--95},
     year = {2009},
     volume = {159},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_159_1_a4/}
}
TY  - JOUR
AU  - V. E. Rochev
TI  - Meson contributions in the Nambu–Jona-Lasinio model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2009
SP  - 81
EP  - 95
VL  - 159
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_2009_159_1_a4/
LA  - ru
ID  - TMF_2009_159_1_a4
ER  - 
%0 Journal Article
%A V. E. Rochev
%T Meson contributions in the Nambu–Jona-Lasinio model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2009
%P 81-95
%V 159
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_2009_159_1_a4/
%G ru
%F TMF_2009_159_1_a4
V. E. Rochev. Meson contributions in the Nambu–Jona-Lasinio model. Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 1, pp. 81-95. http://geodesic.mathdoc.fr/item/TMF_2009_159_1_a4/

[1] Y. Nambu, G. Jona-Lasinio, Phys. Rev., 122:1 (1961), 345–358 | DOI | MR

[2] T. Eguchi, H. Sugawara, Phys. Rev. D, 10:12 (1974), 4257–4262 ; K. Kikkawa, Prog. Theor. Phys., 56:3 (1976), 947–955 ; D. Ebert, M. K. Volkov, Z. Phys. C, 16:3 (1983), 205–210 | DOI | DOI | DOI

[3] M. K. Volkov, A. E. Radzhabov, UFN, 176:6 (2006), 569–580 ; К. Г. Клименко, Д. Эберт, ТМФ, 150:1 (2007), 95–111 | DOI | MR | DOI | Zbl

[4] V. Dmitrasinovic, J. H. Schulze, R. Tegen, H. R. Lemmer, Ann. Physics, 238:2 (1994), 332–369 | DOI

[5] D. Ebert, M. Nagy, M. K. Volkov, YaF, 59:1 (1996), 149–152 ; D. Blaschke, Yu. L. Kalinovsky, G. Röpke, S. Schmidt, M. K. Volkov, Phys. Rev. C, 53:5 (1996), 2394–2400 ; E. N. Nikolov, W. Broniowski, C. V. Christov, G. Röpke, K. Goeke, Nucl. Phys. A, 608 (1996), 411–436 ; M. Oertel, M. Buballa, J. Wambach, ЯФ, 64:4 (2001), 757–785 | DOI | DOI | DOI

[6] J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, Internat. Ser. Monogr. Phys., 85, Clarendon Press, Oxford, 1993 | MR | Zbl

[7] C. De Dominicis, J. Math. Phys., 3:5 (1962), 983–1002 | DOI | MR

[8] H. D. Dahmen, G. Jona-Lasinio, Nuovo Cim. A, 52:3 (1967), 807–838 ; А. Н. Васильев, А. К. Казанский, ТМФ, 14:3 (1973), 289–305 ; В. Е. Рочев, ТМФ, 51:1 (1982), 22–33 | DOI | DOI | MR | DOI

[9] V. E. Rochev, J. Phys. A, 33:41 (2000), 7379–7406 | DOI | MR | Zbl

[10] R. G. Jafarov, V. E. Rochev, Cent. Eur. J. Phys., 2:2 (2004), 367–381 | DOI

[11] T.-P. Cheng, L.-F. Li, Kalibrovochnye teorii v fizike elementarnykh chastits, Mir, M., 1987 | MR