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Green-Volkov algebra in configuration space
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Algebra in Configuration Space. A. B. GOVORKOV. Joint Institute for Nuclear Research, Dukua, U.S.S.R. All irreducible representations of the Green-Volkov algebra in the configuration space are realized on the class of certain symmetry many-particles functions. It is shown that any state in these representations can be labelled by the eigenvalues of the “isospin” and its third projection. In the framework of the Green-Volkov parafield theory an electromagnetic interaction, which breaks up “isospin” symmetry, is formulated. A charge-conjugation transformation is reformulated. The manifest matrix transformation from the Green-Volkov parafield to two usual Fermi-fields is introduced. Thus the Green-Volkov field is shown to be equivalent to the usual Fermi-field with “isospin.” Green-Volkov
OF
PAPERS
TO APPEAR
IN
FUTURE
ISSUES
593
Algebra in Configuration Space. A. B. GOVORKOV. Joint Institute for Nuclear Research, Dukua, U.S.S.R. All irreducible representations of the Green-Volkov algebra in the configuration space are realized on the class of certain symmetry many-particles functions. It is shown that any state in these representations can be labelled by the eigenvalues of the “isospin” and its third projection. In the framework of the Green-Volkov parafield theory an electromagnetic interaction, which breaks up “isospin” symmetry, is formulated. A charge-conjugation transformation is reformulated. The manifest matrix transformation from the Green-Volkov parafield to two usual Fermi-fields is introduced. Thus the Green-Volkov field is shown to be equivalent to the usual Fermi-field with “isospin.” Green-Volkov