Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional SU(2) Four-fermi Model |
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| Authors: | SHEN Kun QIU Zhong-Ping |
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| Affiliation: | 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 πα 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. |
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