Composite antisymmetric-tensor Nambu-Goldstone bosons in a four-fermion interaction model and the Higgs mechanism |
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Authors: | V Dmitrašinović |
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Institution: | (1) Department of Physics and Astronomy, University of South Carolina, Columbia, SC 29208, USA (e-mail: dmitra@nuc003.psc.sc.edu) , US |
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Abstract: | Starting from the Fierz transform of the two-flavour 't Hooft interaction (a four-fermion Lagrangian with antisymmetric Lorentz
tensor interaction terms augmented by an NJL type Lorentz scalar interaction responsible for dynamical symmetry breaking and
quark mass generation), we show that: (1) antisymmetric tensor Nambu-Goldstone bosons appear provided that the scalar and
tensor couplings stand in the proportion of two to one, which ratio appears naturally in the Fierz transform of the two-flavour
't Hooft interaction; (2) non-Abelian vector gauge bosons coupled to this system acquire a non-zero mass. Axial-vector fields
do not mix with antisymmetric tensor fields, so there is no mass shift there.
Received: 3 September 1999 / Revised Version: 3 November 1999 / Published online: 6 April 2000 |
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