  We show that the hadron vector resonances are described by fields
transforming according to different inequivalent representations of the Lorentz
group: (1/2,1/2) and (1,0)+(0,1). The vector representation (1/2,1/2) is well
studied and corresponds to the gauge fields. On the other hand, the chiral
representations (1,0) and (0,1) are described by the second rank antisymmetric
tensor fields, for which interaction theory has not yet been constructed. In
the framework of the phenomenological Nambu - Jona-Lasinio approach we have
introduced and used all these fields for a description of the vector
resonances. A new mass relation between low-lying hadron vector and
axial-vector resonances is obtained. This relation is in agreement with the
present experimental data.
