Composite antisymmetric tensor bosons in a four-fermion interaction model

We discuss the phenomenological consequences of the U-A(1) symmetry-breakin g two-flavour four-fermion antisymmetric (AS) Lorentz tensor interaction La grangians. We use the recently developed methods that respect the 'duality' symmetry of this interaction. Starting from the Fierz transform of the two -flavour 't Hooft interaction (a four-fermion Lagrangian with AS tensor int eraction terms augmented by Nambu and Jona-Lasinio (NJL)-type Lorentz scala r interaction responsible for dynamical symmetry breaking and quark mass ge neration), we find the following. (a) Four antisymmetric tensor and four AS pseudotensor bosons exist which satisfy a mass relation previously derived for scalar and pseudoscalar mesons from the 't Hooft interaction. (b) Anti symmetric tensor bosons mix with vector bosons via one-fermion-loop effecti ve couplings so that both kinds of bosons have their masses shifted and the fermions (quarks) acquire anomalous magnetic moment form factors that expl icitly violate chiral symmetry. (c) The mixing of massive AS tensor fields with vector fields leads to two sets of spin-1 states. The second set of sp in-1 mesons is heavy and has not been observed. Moreover, at least one memb er of this second set is tachyonic, under standard assumptions about the so urce and strength of the AS tensor interaction. The tachyonic slate also sh ows up as a pole in the space-like region of the electromagnetic form facto rs. (d) The mixing of axial-vector fields with antisymmetric tensor bosons is proportional to the (small) isospin-breaking up-down quark mass differen ce, so the mixing-induced mass shift is negligible. (c) The AS tensor versi on of the Veneziano-Witten U-A(1) symmetry-breaking interaction does not Le ad to tachyons, or any AS tensor field propagation to leading order in N-C.