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

Abstract
HTML
Reference
Related

PDF

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

[1]	Kai Xue , Xiaozhu Yu , Xinyang Wang . Do we need to use regularization for the thermal part in the NJL model?. Chinese Physics C, 2022, 46(1): 013103. doi: 10.1088/1674-1137/ac2ed3
[2]	Cui-Bai Luo , Song Shi , Yong-Hui Xia , Hong-Shi Zong . Dynamical chiral symmetry breaking in NJL Model with a strong background magnetic field and Lorentz-violating extension of the Standard Model. Chinese Physics C, 2017, 41(6): 063104. doi: 10.1088/1674-1137/41/6/063104
[3]	LU Qiang , LI Hong , CHEN Tian-Lun . A New Approach about Determining the Phase Transition Point in Variational-Cumulant Expansion. Chinese Physics C, 2001, 25(2): 95-100.
[4]	CHEN Xiao-Fan , CHEN Zhi-Lai , YANG Xue-Dong , LI Zhu-Peng . Distributions of Realative Momentum of Pion Pairs in Relativistic Heavy Ion Collisions. Chinese Physics C, 2001, 25(10): 1002-1005.
[5]	YANG XiaoDong , SONG MingTao , XIA JiaWen , WEI BaoWen , WU JunLi . Adiabatic Expansion of Electron Beam. Chinese Physics C, 2000, 24(12): 1179-1184.
[6]	Jiang Weizhou , Qiu Xijun . Density Effects on the Fermion and the Scalar and Pseudoscalar Mesons in the QCD-Like Gauged NJL Model. Chinese Physics C, 1999, 23(5): 481-488.
[7]	Zhang Qingying , Feng Mang , Chen Xiaolin , Wang Baolin . Applications of 1/N Expansion Technique. Chinese Physics C, 1996, 20(3): 252-258.
[8]	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.
[9]	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.
[10]	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.
[11]	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.
[12]	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.
[13]	LI Guang-Lie , LIU Ke-Fei . Q²-AND x- RESCALING AND NUCLEAR MOMENTUM CONSERVATION IN THE EMC EFFECT. Chinese Physics C, 1989, 13(7): 620-626.
[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.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3163)
PDF Downloads(574)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.