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

Zhang Jianwei; Deng Weizhen; Yang Zesen; Yang Liming

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《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

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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

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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.

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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

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Received: 1900-01-01
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

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.