Anti-Symmetric Tensor Matter Fields and Non-Linear <math> σ</math>-Model

Physics NotePublished

Anti-Symmetric Tensor Matter Fields and Non-Linear $<math> \sigma</math>$ -Model

M. S. G. Negrao; André Penna-Firme; José Abdalla Helayel Neto

1998

Authors: M. S. G. Negrao; André Penna-Firme; José Abdalla Helayel Neto
Type: Physics Note
Status: Published
Publication date: 1998
Description: The equivalence between rank-2 anti-symmetric tensor fields, considered as gauge potentials, and torsionless non-linear <math>\sigma\,\!</math>-models suggests us to study the possibility of coupling tensorial matter with Yang-Mills fields, through the gauging of the isometries of the target space. We show that this coupling is actually possible; however, the matter appears no longer as an elementary field, but rather as a composite one, expressed in terms of the bosonic degrees of freedom of the <math>\sigma\,\!</math>-model. A possible phenomenological application is presented that describes the interactions among vector mesons in terms of the geometrical properties of the target manifold. Also, spin-2 meson resonances may naturally be accommodated whenever the <math>\sigma\,\!</math>-model's target manifold is non-symmetric.
Year: 1998
Number: CBPF-NF-048/98
Linked to a thesis: No
Linked to a grant: No