Vertex Correction and Phase Structure 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> 1993, Vol. 17> Issue(9) : 811-815

Vertex Correction and Phase Structure 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：
In 1/N order vertex and fermion mass corrections are calculated in (2+1)dimensional chiral Gross-Neveu model.In terms of the fermion mass spectrum,derived from chiral Ward-Takahashi identities,the phase structure in 1/N order is discussed.It turns out that chiral W-T identities with composite fields are a powerful method to investigate chiral symmetry breaking and higher order corrections.

References

[1]

I. Affleck and J. B Marston, Phys. Rev. ,B37(1988)，3774;B39(1989)，1538;R.,Shankar, Phys. Rev. Lett. ,63(1989),203; E. Daaotto,E. Frodkin and A. More,Phys. Rev. ,B38(Y989),2926.[2]A. J. Niemi and G. W. Semanoff,Phys. Rev. Lett. ,51(1983),2077.[3]M. G. Mitchard, J. A. Gracey and A. J. Macfarlane, Nucl. Phys. ,B315(1989),470;I. Yotsuyanagi,Phys. Rev.D39(1989),3034.[4]A. D. Davis,J. A. Gracey and A. J. Macfarlane, Nucl. Phys. ,B195(FS21) (1988),617.[5]B. Rosenstein and A. Kover,Phys. Rev. , D40 (1989 ) , 523.[6]K. Shizuya, Phys. Rev. ,D11(1980)2327;B. Rosenstein, B. J. Warr and S. H. Park,Phys. Rev. Lett. ,62(1989)1433.[7]S. Coleman, Commun. Math. Phys. , 31(1973 ) , 259.[8]B. Rosenstein and B. J. Warr,Phys. Lev.Lett. ,Z18B(1989),465.[9]M. Carena,T. E. Clark.“C. E. M. Wagner , Nucl. Phys. , B356 (1991) ,117.[10]沈坤、裘忠平，高能物理与核物理，16(1992),29;Shen Kun and Qiu Zhongping,Journal of Phys. ,18(1992),745.

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[3]	Hul Ping . (2+1)-D SU(3)0⁺⁺ Glueball Wavefunction. Chinese Physics C, 1999, 23(4): 340-346.
[4]	Hui Ping . Fifth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1998, 22(4): 322-325.
[5]	Gao Xiaochun , Xu Donghui . R emovability of the Topological Term in the 2+1 Dimensional CP¹ Model. Chinese Physics C, 1995, 19(5): 413-419.
[6]	Chen Qizhou , Li Zhibing , Li Lei , Guo Shuohong . Infrared Vacuum Wavefunction of (2+1)-Dimensional SU(2) Gauge Field. Chinese Physics C, 1994, 18(1): 37-42.
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[11]	Shen Kun , Qiu Zhongping . Chiral Symmetry, Ward-Takahashi Identities and Mass spectra in (2 + 1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1991, 15(S4): 401-410.
[12]	Lou Senyue , Ni Guangjiong . Variational Analysis of the Gross-Neveu Model at Zero and Finite Temperatures. Chinese Physics C, 1990, 14(S2): 145-153.
[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]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT. Chinese Physics C, 1989, 13(1): 83-86.
[15]	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.
[16]	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.
[17]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE STRING TENSION OF 2+1 DIMENSIONAL SU(2) GAUGE THEORIES. Chinese Physics C, 1989, 13(7): 670-672.
[18]	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.
[19]	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.
[20]	YUE Rui-Hong . SOLUTION OF CHIRAL QCD₂ IN 1+1 DIMENSIONAL CURVED SPACETIME. Chinese Physics C, 1988, 12(5): 593-600.

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SHEN Kun and QIU Zhong-Ping. Vertex Correction and Phase Structure in (2+1) Dimensional Chiral Gross-Neveu Model[J]. Chinese Physics C, 1993, 17(9): 811-815.

SHEN Kun and QIU Zhong-Ping. Vertex Correction and Phase Structure in (2+1) Dimensional Chiral Gross-Neveu Model[J]. Chinese Physics C, 1993, 17(9): 811-815. 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

Vertex Correction and Phase Structure 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: 1993-09-05

Abstract: In 1/N order vertex and fermion mass corrections are calculated in (2+1)dimensional chiral Gross-Neveu model.In terms of the fermion mass spectrum,derived from chiral Ward-Takahashi identities,the phase structure in 1/N order is discussed.It turns out that chiral W-T identities with composite fields are a powerful method to investigate chiral symmetry breaking and higher order corrections.