Axial baryon number nonconserving antisymmetric tensor four-quark effective interaction - art. no. 096010

We discuss the phenomenological consequences of the U-A(1) symmetry-breakin g two-flavor four-fermion antisymmetric (AS) Lorentz tensor interaction Lag rangians. We use the recently developed methods that respect the "duality" symmetry of this interaction. Starting from the Fierz transform of the two- flavor 't Hooft interaction (a four-fermion Lagrangian with AS tensor inter action terms augmented by a Nambu-Jona-Lasinio-type Lorentz scalar interact ion responsible for dynamical symmetry breaking and quark mass generation), we find the following. (I) Four antisymmetric tensor and four antisymmetri c pseudotensor bosons exist which satisfy a mass relation previously derive d for scalar and pseudoscalar mesons from the 't Hooft interaction. (2) Ant isymmetric tensor bosons mix with vector bosons via one-fermion-loop effect ive couplings so that both kinds of bosoms have their masses shifted and th e fermions (quarks) acquire anomalous magnetic moment form factors that exp licitly violate chiral symmetry. (3) The mixing of massive antisymmetric te nsor fields with vector fields leads to two sets of spin-one states. The se cond set of spin-one mesons is heavy and has not been observed. Moreover at least one member of this second set is tachyonic, under standard assumptio ns about the source and strength of the antisymmetric tensor interaction. T he tachyonic state also shows up as a pole in the spacelike region of the E M form factors. (4) The axial-vector fields' mixing with antisymmetric tens or bosons is proportional to the (small) isospin-breaking up-down quark mas s difference, so the mixing-induced mass shift of axial vector mesons is ne gligible. (5) The antisymmetric tensor version of the Veneziano-Witten U-A( 1) symmetry-breaking interaction does not lead to tachyons, or any antisymm etric tensor field propagation to leading order in N-C.