Chiral Ward-Takahashi Identities at Finite Temperature and Chiral Phase Transition 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(3) : 208-214

Chiral Ward-Takahashi Identities at Finite Temperature and Chiral Phase Transition 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 at finite remperature are derived in (2+1) dimensional chiral Gross-Neveu model.In terms of these identities,fermion mass generation and the mass spectra of bound states are investigated at finite temperature.Taking the fermion mass as an order parameter,we discuss the phase structure and chiral phase transition and obtain the critical temperature.

References

[1]

D. J. Grossin "D4ethods in Pield Theory", 1975 Les Houches Lectures, edited (.y R. Balian and J. zinn-.justin (North-Halland. Amsterdam. 1976).[2]G. Parisi, Nucl. Phys., B100(1975), 368[3]K. Shizuya, Phys. Rev., D21(1980), 2327; B. Rosensein, B. J. Warr and S.H Park, Phys. Rev.Lett., 62(1989), 1433.[4]G. Semenoft and L.Wjeward6ana, Phys. Rev. lett., 63(1989), 1083; M. Carena, T. Waener, Nucl. Phys.,Clark and C.B356(1991). 117.[5]沈坤、裘忠平,高能物理与核物理,Vo1.16, No. 1(1992),22.[6]B. Rosenstein, B. J. Narr and S. H. Park, Phys. Lett A219(1989), 469: B. Rosenstein and B. J.Warr, Phys. Lett., B218(1989), 465; G. Gat, A. Kovner, B. Rosenstein and B. J. Warn phys. Lett,B240(1990), 158[7]C'. W. Bernard, Phys. Rev., D9(1974), 3312; L.. Dolan and R. Jaekiw, Phys. Rev., D9(1974), 3320.[8]D. J. Gross and A. Neveu, Phys. Rev., D10(1914), 3235[9]M. L. Goldbereer and S. B. Treiman, Phys. Rev., 110(1958), 1178.[10]B. Rosenstein and A. Kover, Phys. Rev., D40(1989), 523;J.1.Latorre and ,1. Soto, Phys. Rev., D34(1986), 3111.M. G. Mitchard, J. A. Gracey and A .J. Macfarlane, Nucl. Phys., B325(1989), 470[11]Shen Kun and Qiu Zhongping, Phys. Rev,D45(1992), 3877.[12]B. Rosenstein, B, J. Warr and S. H Park, Phys. Rev., D39(1989), 3088

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[13]	Lou Senyue , Ni Guangjiong . Variational Analysis of the Gross-Neveu Model at Zero and Finite Temperatures. Chinese Physics C, 1990, 14(S2): 145-153.
[14]	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.
[15]	CHEN Tian-Lun , HUANG Wu-Qun , JIN Ke , SUO Cun-Chuan . β FUNCTION FOR SU(2)×SU(2) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1989, 13(2): 188-192.
[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]	YUE Rui-Hong . SOLUTION OF CHIRAL QCD₂ IN 1+1 DIMENSIONAL CURVED SPACETIME. Chinese Physics C, 1988, 12(5): 593-600.
[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 Ward-Takahashi Identities at Finite Temperature and Chiral Phase Transition in (2+1) Dimensional Chiral Gross-Neveu Model[J]. Chinese Physics C, 1993, 17(3): 208-214.

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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 Ward-Takahashi Identities at Finite Temperature and Chiral Phase Transition 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: 1993-03-05

Abstract: Chiral Ward-Takahashi identities at finite remperature are derived in (2+1) dimensional chiral Gross-Neveu model.In terms of these identities,fermion mass generation and the mass spectra of bound states are investigated at finite temperature.Taking the fermion mass as an order parameter,we discuss the phase structure and chiral phase transition and obtain the critical temperature.