External Momentum Expansion in NJL Model

Huang Mei; Zhuang Pengfei; Zhao Weiqin

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

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

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]	Xiaozhu Yu , Xinyang Wang . (Pseudo) Scalar mesons in a self-consistent NJL model. Chinese Physics C, 2023, 47(12): 123103. doi: 10.1088/1674-1137/ad0111
[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]	HUO Lei , ZHANG Wei-Ning , CHEN Xiang-Jun , ZHANG Jing-Bo , TANG Gui-Xin . Collective Flow and the Space-Momentum Correlation in High Energy Heavy Ion Collisions. Chinese Physics C, 2003, 27(1): 53-57.
[4]	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.
[5]	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.
[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.

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(3116)
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.