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Particles and Fields
Eur. Phys. J. C 14, 179-184
DOI 10.1007/s100520000290

Composite antisymmetric-tensor Nambu-Goldstone bosons in a four-fermion interaction model and the Higgs mechanism

V. Dmitrasinovic

Department of Physics and Astronomy, University of South Carolina, Columbia, SC 29208, USA
(e-mail: dmitra@nuc003.psc.sc.edu)

Received: 3 September 1999 / Revised Version: 3 November 1999 /
Published online: 6 April 2000 - © Springer-Verlag 2000

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.

Copyright Società Italiana di Fisica, Springer-Verlag 2000