External Momentum Expansion in NJL Model

Huang Mei; Zhuang Pengfei; Zhao Weiqin

Chinese Physics C> 1999, Vol. 23> Issue(9) : 926-930

External Momentum Expansion in NJL Model

Institute of High Energy Physics,The Chinese Academy of Sciences,Beijing 1000392 Physics Department,Tsinghua University, Beijing 1000843 CCAST Beijing 100080

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Abstract：
In the large N_c expansion beyond mean-field approximation, we develop a generals scheme of SU(2) NJL model including current quark mass explicitly. In our scheme, the conshttituent quark's propagator is expanded in pion's external momentum k, and all the Feynman diagrams are naturally expanded to k² term in a unified way. Our numerical results show that in the mean field appproximations the effect of current quark mass is invisible, however, the effect of current quark mass can be seen explicitly beyond mean-field approximation for reasonable choices of the parameters in NJL model.

References

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Vogl U, Weise W. Prog. Prat . Nucl . Phys ., 1991, 27:1952 Klevansky S P. Rev. Mod. Phys., 1992, 64:6493 Hatsuda T, Kunihiro T. Phys. Rep., 1994 247:221 4 Nikolov E N, Broniowski W, Christov C V et al. Nucl. Phys., 1996, A608:4115 Dmitrasinovic V. Schulze H–J, Tegen R et al. Ann. Phys., 1995 238:332 6 Huang M Zhuang P F, Chao W Q. hep–ph/9903304

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Huang Mei, Zhuang Pengfei and Zhao Weiqin. External Momentum Expansion in NJL Model[J]. Chinese Physics C, 1999, 23(9): 926-930.

Huang Mei, Zhuang Pengfei and Zhao Weiqin. External Momentum Expansion in NJL Model[J]. Chinese Physics C, 1999, 23(9): 926-930. shu

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Received: 1999-03-11
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

External Momentum Expansion in NJL Model

Corresponding author: Huang Mei,

Institute of High Energy Physics,The Chinese Academy of Sciences,Beijing 1000392 Physics Department,Tsinghua University, Beijing 1000843 CCAST Beijing 100080

Received Date: 1999-03-11
Accepted Date: 1900-01-01
Available Online: 1999-09-05

Abstract: In the large N_c expansion beyond mean-field approximation, we develop a generals scheme of SU(2) NJL model including current quark mass explicitly. In our scheme, the conshttituent quark's propagator is expanded in pion's external momentum k, and all the Feynman diagrams are naturally expanded to k² term in a unified way. Our numerical results show that in the mean field appproximations the effect of current quark mass is invisible, however, the effect of current quark mass can be seen explicitly beyond mean-field approximation for reasonable choices of the parameters in NJL model.