Double Symmetries in Field Theories

Details Double Symmetries in Field Theories Double Symmetries in Field Theories

2000-03-14

arxiv.org/abs/hep-th/0003107v1

Mod.Phys.Lett. A15 (2000) 379

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX, no figures

Scientific paper

10.1142/S0217732300000360

In the paper a concept of a double symmetry is introduced, and its qualitative characteristics and rigorous definitions are given. We describe two ways to construct the double-symmetric field theories and present an example demonstrating the high efficiency of one of them. In noting the existing double-symmetric theories we draw attention at a dual status of the group $SU(2)_{L} \otimes SU(2)_{R}$ as a secondary symmetry group, and in this connexion we briefly discuss logically possible aspects of the $P$-violation in weak interactions.

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