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
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.
Copyright Società Italiana di Fisica, Springer-Verlag 2000
