Non-Abelian tensor gauge fields and extended current algebra. Generalization of Yang-Mills theory

Details Non-Abelian tensor gauge fields and extended current algebra. Generalization of Yang-Mills theory Non-Abelian tensor gauge fields and extended current algebra. Generalization of Yang-Mills theory

2005-10-30

arxiv.org/abs/hep-th/0510258v3

Physics

High Energy Physics

High Energy Physics - Theory

LaTex file, 23 pages, the normalization of second Lagrangian has been changed

Scientific paper

We suggest an infinite-dimensional extension of the gauge transformations which includes non-Abelian tensor gauge fields. Extended gauge transformations of non-Abelian tensor gauge fields form a new large group which has natural geometrical interpretation it terms of extended current algebra associated with compact Lie group. We shall demonstrate that one can construct two infinite series of gauge invariant quadratic forms, so that a linear combination of them comprises the general Lagrangian. The general Lagrangian exhibits enhanced local gauge invariants with double number of gauge parameters and allows to eliminate all negative norm states of the nonsymmetric second-rank tensor gauge field. Therefore it describes two polarizations of helicity-two and helicity-zero massless charged tensor gauge bosons.

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