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2024年10月30日

Chiral Ward-Takahashi Identities at Finite Temperature and Chiral Phase Transition in (2+1) Dimensional Chiral Gross-Neveu Model

  • 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.
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  • [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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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.
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. shu
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Received: 1900-01-01
Revised: 1900-01-01
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Chiral Ward-Takahashi Identities at Finite Temperature and Chiral Phase Transition in (2+1) Dimensional Chiral Gross-Neveu Model

    Corresponding author: SHEN Kun,
  • Institute of Particle Physics,Hua-Zhong Normal University,Wuhan,430070

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.

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