Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional <EM>SU</EM>(2) Four-fermi Model

SHEN Kun; QIU Zhong-Ping

Chinese Physics C> 1993, Vol. 17> Issue(1) : 17-27

Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional SU(2) Four-fermi Model

SHEN Kun ^, ,
QIU Zhong-Ping

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

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Abstract：
Ward-Takahashi identities with composite fields are utilized to inverstigate (2+1) dimensional model with SU(2) four-fermion couplings.When SU(2) chiral symmetry is both explicitly and dynamically broken,fermion mass is dynamically generated and mass spectra of the bound states are obtained The properties of vector and axial-vector currents are discussed.It turns out that the bound state π_α acquires a mass and the axial-vector current is partially conserved,and the Goldberger-Treimab relation is approximately valid in the case of small fermion current masses.

References

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SHEN Kun and QIU Zhong-Ping. Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional SU(2) Four-fermi Model[J]. Chinese Physics C, 1993, 17(1): 17-27.

SHEN Kun and QIU Zhong-Ping. Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional SU(2) Four-fermi Model[J]. Chinese Physics C, 1993, 17(1): 17-27. 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

Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional SU(2) Four-fermi 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: 1993-01-05

Abstract: Ward-Takahashi identities with composite fields are utilized to inverstigate (2+1) dimensional model with SU(2) four-fermion couplings.When SU(2) chiral symmetry is both explicitly and dynamically broken,fermion mass is dynamically generated and mass spectra of the bound states are obtained The properties of vector and axial-vector currents are discussed.It turns out that the bound state π_α acquires a mass and the axial-vector current is partially conserved,and the Goldberger-Treimab relation is approximately valid in the case of small fermion current masses.