Extension of Abelian Gauge Symmetry

A generalization of the U(1) gauge symmetry group by permutation of the generator and the unity is proposed. Thus a commutative extension of the symmetry group is obtained. The two-dimensional matrix representation of this group contains matrices with determinants both 1 and −1. The aim of the present work consists in establishing the necessity of existence of so-called imaginary charges and electromagnetic fields with negative energy density. Some cosmological issues of the existence of such fields are discussed.

gauge symmetry, abelian group, imaginary charges, negative energy density, accelerating cosmological expansion