External Momentum Expansion in NJL Model

Huang Mei; Zhuang Pengfei; Zhao Weiqin

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2024年10月30日

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

[1]

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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[6]	Zhang Yang , Deng Yue , Liu Lianshou . On the Constraint of Transverse Momentum Conservation to Dynamic Fluctuations in High Energy Collisions. Chinese Physics C, 1997, 21(2): 130-137.
[7]	Huang Xiaolin , Jiang Dongxing , Ye Yanlin , Liu Hongtao , Lu Xiting . The Dynamics of Linear Momentum Dissipation in the Intermediate Energy Heavy Ion Collisions. Chinese Physics C, 1994, 18(2): 154-159.
[8]	Jing Cailiu , Ding Linkai . A Dependence of Longitudinal Momenta of Secondary Particles on Multiplicity in Hadronic Interactions. Chinese Physics C, 1994, 18(10): 865-869.
[9]	Zhang Jianwei , Deng Weizhen , Yang Zesen , Yang Liming . Dimensional Regularization and π-meson Properties in Nambu-Jona-Lasinio Model. Chinese Physics C, 1994, 18(9): 821-828.
[10]	ZHENG Xite , LEI Chunhong , LI Yuliang , CHEN Hong . Study of Higher Order Cumulant Expansion of U(1) Lattice Gauge Model at Finite Temperature. Chinese Physics C, 1993, 17(12): 1076-1080.
[11]	DENG Wei-Zhen , YANG Ze-Sen , WANG Yu-Cheng . A Non-Hermitian Approach of Dyson Boson Expansion to Interacting Boson Model. Chinese Physics C, 1993, 17(10): 907-911.
[12]	LAI Xiao-Ping , FANG Hai-Ping , XIE Qu-Bing . Generation of Random Samples of Momentum Fractions of Quarks in the Stochastic Combination Model. Chinese Physics C, 1991, 15(12): 1069-1075.
[13]	WU Zhong-Li . ANALYSIS OF THE MOMENTUM DISTRIBUTION WIDTH OF THE PREOJECTILE-LIKE-FRAGMENT FROM HEAVY ION COLLISIONS. Chinese Physics C, 1989, 13(8): 752-754.
[14]	LIAO Ji-Zhi . ELECTROMAGNETIC TRANSITIONS OF NUCLEI IN ANGULAR MOMENTUM PROJECTION HARTREE-FOCK METHOD. Chinese Physics C, 1989, 13(9): 837-841.
[15]	LI Jun-Qing , ZHU Jie-Ding , WANG Zheng-Da , YANG Shi-Jun . ANGULAR MOMENTUM CORRELATION OF FRAGMENTS IN DEEP INELESTIC COLLISIONS. Chinese Physics C, 1985, 9(5): 603-610.
[16]	YANG Ze-Sen(Tse-sen Yang) . DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL. Chinese Physics C, 1985, 9(3): 341-348.
[17]	HE Xiang-Hao , LI Tie-Zhong , XIAN Ding-Chang . SINGLE LINK PARTITION FUNCTIONS FOR VARIOUS FORMS OF SOURCES AND THEIR APPLICATIONS IN SU(3) LATTICE GAUGE FIELD THEORY. Chinese Physics C, 1984, 8(6): 772-776.
[18]	ZHANG Zhong-Can . STRONG-COUPLING EXPANSION IN σ-MODEL. Chinese Physics C, 1984, 8(6): 677-687.
[19]	LI JUN-QING , TANG XUE-TIAN , . THE ANGULAR-MOMENTUM CORRELATION COEFFICIENT IN DISSIPATIVE HEAVY-ION COLLISIONS. Chinese Physics C, 1982, 6(3): 341-346.
[20]	YIN PONG-CHENG . QUANTUM EXPANSION AROUND THE VERTEX TYPE SOLUTION OF N-O MODEL. Chinese Physics C, 1978, 2(3): 193-199.

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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.