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]	Lin Hai,Liu Lianshou. Wavelet Correlation in the One-Dimensional Projection α-Model. Chinese Physics C, 1997, 21(6): 513-522.
[9]	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.
[10]	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.
[11]	Pan Feng. Dimension Formula and an Irreducible Basis of Brauer Algebras. Chinese Physics C, 1995, 19(8): 734-738.
[12]	Chen Xiangjun,Liu Lianshou. Regularization of Angular Infrared Divergence of Massless Theory at Finite Temperature. Chinese Physics C, 1995, 19(10): 907-910.
[13]	HOU Bo-Yu,ZHAO Liu. On the Connections of W Algebras from Different Reductions of WZNW Theory. Chinese Physics C, 1993, 17(4): 329-337.
[14]	YAN Jun,HU Shi-Ke. The Stable Compactification of Ten-Dimensional Supergravity Model. Chinese Physics C, 1993, 17(8): 692-699.
[15]	GONG Shang-Qing,QU Li-Hu,YU Shou-Mian. A FOUR-DIMENSIONAL HETEROTIC STRING. Chinese Physics C, 1989, 13(7): 600-606.
[16]	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.
[17]	CHEN Wei. ALTERNATIVE REGULARIZATION SCHEME AND CONFORMAL ANOMALY IN STRINGS. Chinese Physics C, 1988, 12(5): 715-720.
[18]	ZHANG Yue-Zhong. AXIAL VECTOR WARD IDENTITIES AND DIMENSIONAL REGULARIZATION IN RENORMALIZABLESU(2)_L×U(1)_YMODEL. Chinese Physics C, 1985, 9(4): 430-436.
[19]	MIAO Rong-Zhi,WU Guo-Hua,ZHENG Wei-Han,LIU Jian-Ye,YU Chao-Fan,YU Xian. STATISTICAL CHARACTERISTIC OF THE INITIAL EXCITON NUMBER n₀AND IT'S INFLUENCE ON THE RESULTS IN THE EXCITON MODEL. Chinese Physics C, 1984, 8(6): 740-747.
[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(3945)
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.