Dimensional Regularization and π-meson Properties in Nambu-Jona-Lasinio Model

Zhang Jianwei; Deng Weizhen; Yang Zesen; Yang Liming

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> 1994, Vol. 18> Issue(9) : 821-828

Dimensional Regularization and π-meson Properties in Nambu-Jona-Lasinio Model

Department of Technical Physics, Peking University, Beijing 1008712 Department of Physics, Peking University, Beijing 100871

Abstract
HTML
Reference
Related

PDF

Abstract：
The dimensional regularization approach in the operator representation of the Dirac algebra defined in the extended Grassmann space is applied to investigate the properties of the π-meson mode in the Nambu-Jona-Lasinio model. It is shown that the analytic formula for hadronic modes in the Nambu-Jona-Lasinio model as well as the numerical results which fit the experimental data can be obtained by employing this method.

References

[1]

Y.Nambu and G.Jona-Lasinio,Phys Rev.,122（1961）345;124（1961）246.[2]S.Kreward and K.Nakayama,Ann.Phys.,216（1992）201.[3]D.Ebert and H.Reinhardt,Nucl.Phys,B271（1986）188.[4]T.Hatusda and T.Kunihiro,Phys.Rev.Lett.,55（1985）158.[5]V.Bernard,Phys.Rev.,D34（1986）1601.[6]V.Bernard,U.-G.Meissner and I.Zahed,Phys.Rev.Lett,59（1987）966.[7]P.Ferstl,M.Schaden and E.Werner,Nucl.Phys,A452（1986）680.[8]N.-W.Cao,C.M.Shakin and W.-D.Sun,Phys.Rev.,C46（1992）2535.[9]A.W.Blin,B.Hiller and M.Schaden,Z.Phys,A336（1988）75.[10]S.Klimt,M.Lutz,U.Vogl and W.Weise,Nucl.Phys.,A516（1990）429;469.

[1]	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
[2]	LUO Shi-Yu , SHAO Ming-Zhu , HU Xi-Duo . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅰ). Chinese Physics C, 2004, 28(1): 96-99.
[3]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[4]	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.
[5]	Huang Mei , Zhuang Pengfei , Zhao Weiqin . External Momentum Expansion in NJL Model. Chinese Physics C, 1999, 23(9): 926-930.
[6]	Huang Mei , Zhung Pengfei . Chiral Singularity in Hadronization. Chinese Physics C, 1998, 22(8): 690-698.
[7]	Chen Xiangjun , Liu Lianshou . Dimensional Regularization and Analytical Continuationat Finite Temperature. Chinese Physics C, 1998, 22(5): 460-465.
[8]	Chen Xiangjun , Liu Lianshou . Regularization of Infrared Divergences in the Vacuum Graphs of Massless Field at Finite Temperature. Chinese Physics C, 1997, 21(5): 425-432.
[9]	Wang Xin , Li Jiarong . Dimensional Regularization in Imaginary-Time Temperature Field Theory and Thermodynamic Potential of Two-Loop QED. Chinese Physics C, 1997, 21(3): 216-226.
[10]	Pan Feng . Dimension Formula and an Irreducible Basis of Brauer Algebras. Chinese Physics C, 1995, 19(8): 734-738.
[11]	Chen Xiangjun , Liu Lianshou . Regularization of Angular Infrared Divergence of Massless Theory at Finite Temperature. Chinese Physics C, 1995, 19(10): 907-910.
[12]	YAN Jun , HU Shi-Ke . The Stable Compactification of Ten-Dimensional Supergravity Model. Chinese Physics C, 1993, 17(8): 692-699.
[13]	MA Yu-Gang , SHEN Wen-Qing , FENG Jun , GE Ling-Xiao , ZHAN Wen-Long , WANG Bing , ZHU Yong-Tai , ZENG Yao-Wu , ZHOU Jian-Qun , ZHANG Feng-Shou . A Simulation of Emitted Nucleons:An Extended BUU Model. Chinese Physics C, 1992, 16(11): 1043-1049.
[14]	GONG Shang-Qing , QU Li-Hu , YU Shou-Mian . A FOUR-DIMENSIONAL HETEROTIC STRING. Chinese Physics C, 1989, 13(7): 600-606.
[15]	CHEN Tian-Lun , HUANG Wu-Qun , SHEN Qin-Wan . A MONTE CARLO RENORMALIZATION GROUP STUDY OF ISING MODEL ON THREE-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1988, 12(4): 573-576.
[16]	CHEN Wei . ALTERNATIVE REGULARIZATION SCHEME AND CONFORMAL ANOMALY IN STRINGS. Chinese Physics C, 1988, 12(5): 715-720.
[17]	ZHANG Yue-Zhong . AXIAL VECTOR WARD IDENTITIES AND DIMENSIONAL REGULARIZATION IN RENORMALIZABLE SU(2)_L×U(1)_Y MODEL. Chinese Physics C, 1985, 9(4): 430-436.
[18]	MIAO Rong-Zhi , WU Guo-Hua , ZHENG Wei-Han , LIU Jian-Ye , YU Chao-Fan , YU Xian . STATISTICAL CHARACTERISTIC OF THE INITIAL EXCITON NUMBER n₀ AND IT'S INFLUENCE ON THE RESULTS IN THE EXCITON MODEL. Chinese Physics C, 1984, 8(6): 740-747.
[19]	Zhang Qi-ren . SCALAR MESON FIELD AND THE AVERAGE PROPERTIES OF ATOMIC NUCLEI. Chinese Physics C, 1980, 4(5): 576-578.
[20]	XU BO-WEI . SPACE-TIME PROPERTY OF FERMION NUMBER. Chinese Physics C, 1979, 3(1): 60-66.

Access

Get Citation

Zhang Jianwei, Deng Weizhen, Yang Zesen and Yang Liming. Dimensional Regularization and π-meson Properties in Nambu-Jona-Lasinio Model[J]. Chinese Physics C, 1994, 18(9): 821-828.

Zhang Jianwei, Deng Weizhen, Yang Zesen and Yang Liming. Dimensional Regularization and π-meson Properties in Nambu-Jona-Lasinio Model[J]. Chinese Physics C, 1994, 18(9): 821-828. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2741)
PDF Downloads(479)
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

Dimensional Regularization and π-meson Properties in Nambu-Jona-Lasinio Model

Corresponding author: Zhang Jianwei,

Department of Technical Physics, Peking University, Beijing 1008712 Department of Physics, Peking University, Beijing 100871

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-09-05

Abstract: The dimensional regularization approach in the operator representation of the Dirac algebra defined in the extended Grassmann space is applied to investigate the properties of the π-meson mode in the Nambu-Jona-Lasinio model. It is shown that the analytic formula for hadronic modes in the Nambu-Jona-Lasinio model as well as the numerical results which fit the experimental data can be obtained by employing this method.