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

  • 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.
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Shen Kun and Qiu Zhongping. Chiral Symmetry, Ward-Takahashi Identities and Mass spectra in (2 + 1) Dimensional Chiral Gross-Neveu Model[J]. Chinese Physics C, 1991, 15(S4): 401-410.
Shen Kun and Qiu Zhongping. Chiral Symmetry, Ward-Takahashi Identities and Mass spectra in (2 + 1) Dimensional Chiral Gross-Neveu Model[J]. Chinese Physics C, 1991, 15(S4): 401-410. shu
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Received: 1991-03-11
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    Supported by the National Natural Science Foundation of China.

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

  • Institute of Particle Physics, Central China Normal University, Wuhan, Hubei. China
Fund Project:  Supported by the National Natural Science Foundation of China.

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.

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