Chiral Symmetry,Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional Chiral Gross-Neveu Model

SHEN Kun; QIU Zhong-Ping

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1992, Vol. 16> Issue(1) : 29-37

Chiral Symmetry,Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional Chiral Gross-Neveu Model

SHEN Kun ^, ,
QIU Zhong-Ping

Institute of Particle Physics,Hua-Zhong Normal University Wuhan 430070

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Abstract：
Chiral Ward-Takahashi identities with composite fields are applied to investigate mass spectra in (2+1) dimensional chiral Gross-Neveu model.The fermion mass and bound state spectra are obtained,which are in agreement with large-N expansion in the lowest approximation.When the chiral symmetry is an approximate one,we obtain the PCAC.

References

[1]

W. Marciano and H. Pagels, Phys. Rep., .36(1978), 137.[2] W.A.Bardeen, C, N, Levng and S, T. Love, Nucl. Phys., B323(1989), 493.[3] S. L. Adler and A. C. Davis, Nucl. Phys., B244(1984), 469. [4] D. J. Gross and A. Neveu, Phys. Rev., D10(1974), 3235.[5] M. G. Mitchard, J. A. Gracey and J. Macfarlane, Nucl.Phys., B325(1989), 470;I.Yotsuyanagi, Phys.Rev.,D39(1989), 3034.[6] A. D. Davis, J. A. Gracey and A. J. Macfarlane, Nucl. Phys., B295[FS21], (1988), 617.[7] B. Rosenstein and A. Kover, Phys. Rev., D40(1989), 523; S. K. Kim, J. Yang, K. S. Soh and J. H. Yee,Phys. Rev. D40(1989), 2647; J. I. Latorre and J. Soto, Phys. Rev., D34(1986). 3111.[8] S. Coleman, Comm. Math. Phys., 31(1973), 259.[9] K. Shizuya, Phys. Rev., D21(1980), 2327.[10] J. W. Cornwall, R. Jackiw and E. Tomboulis, Phys. Rev., D10(1974), 2428.[11] Y. Nambu and G. Jona-Lasinio, Phys, Rev., 122(1961), 345; 124(1961), 246.[12] D. Lurie and A. J. Macfarlane, Phys. Rev., 136B(I963), 816.[13] M. L. Goldberger and S. B. Treiman, Phys. Rev., 110(1958), 1178.[14] J. Goldstone, Nuovo Cimento; 19(1961), 154; J. Goldstone, A. Salam and S. Weinberg, Phys. Rev. 127(1962), 965.[15] S. Adler, Current Algebras, Bejamin, New York, 1968.

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[13]	LOU Sen-Yue , NI Guang-Jiong . VARIATIONAL ANALYSIS OF THE GROSS-NEVEU MODEL AT ZERO AND FINITE TEMPERATURE. Chinese Physics C, 1990, 14(3): 228-235.
[14]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE MC CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(4): 316-319.
[15]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL U(1) LGT. Chinese Physics C, 1989, 13(2): 184-187.
[16]	LUO Xiang-Qian , CHEN Qi-Zhou , GUO Shuo-Hong . VACUUM OF 2+1 DIMENSIONAL SU(2) LGT WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING. Chinese Physics C, 1989, 13(4): 328-333.
[17]	ZHENG Wei-Hong , LIU Jin-Ming , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1988, 12(1): 134-136.
[18]	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.
[19]	Kuang Yu-ping , Yi Yu-ping . WARD-TAKAHASHI IDENTITIES FOR GAUGE.GHOST FIELD PROPER VERTICES. Chinese Physics C, 1980, 4(3): 286-290.
[20]	ZHOU GUANG-ZHAO , SU ZHAO-BING . ON THE DYSON EQUATION AND THE WARD-TAKAHASHI IDENTITIES OF THE CLOSED TIME PATH GREEN'S FUNCTIONS. Chinese Physics C, 1979, 3(3): 314-326.

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SHEN Kun and QIU Zhong-Ping. Chiral Symmetry,Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional Chiral Gross-Neveu Model[J]. Chinese Physics C, 1992, 16(1): 29-37.

SHEN Kun and QIU Zhong-Ping. Chiral Symmetry,Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional Chiral Gross-Neveu Model[J]. Chinese Physics C, 1992, 16(1): 29-37. 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

Chiral Symmetry,Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional Chiral Gross-Neveu Model

SHEN Kun ^,
QIU Zhong-Ping

Corresponding author: SHEN Kun,

Institute of Particle Physics,Hua-Zhong Normal University Wuhan 430070

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1992-01-05

Abstract: Chiral Ward-Takahashi identities with composite fields are applied to investigate mass spectra in (2+1) dimensional chiral Gross-Neveu model.The fermion mass and bound state spectra are obtained,which are in agreement with large-N expansion in the lowest approximation.When the chiral symmetry is an approximate one,we obtain the PCAC.