Extension of Abelian Gauge Symmetry

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Abstract

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.

About the authors

N P Tretyakov

Social State University of Russia

Email: trn12@smtp.ru
Кафедра прикладной математики; Российский государственный социальный университет; Social State University of Russia

A Ya Terletsky

Peoples Friendship University of Russia

Кафедра экспериментальной физики; Российский университет дружбы народов; Peoples Friendship University of Russia

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Copyright (c) 2010 Третьяков Н.П., Терлецкий А.Я.

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