Majorana-Like (j,0)+(0,j) Representation Spaces: Construction and Physical Interpretation

Physics – High Energy Physics – High Energy Physics - Theory

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Scientific paper

10.1142/S0217732394000460

We present a formalism that extends the Majorana-construction to arbitrary spin (j,0)+(0,j) representation spaces. For the example case of spin-1, a wave equation satisfied by the Majorana-like (1,0)+(0,1) spinors is constructed and its physical content explored. The (j,0)+(0,j) Majorana-construct is found to possess an unusual classical and quantum field theoretic structure. Relevance of our formalism to parity violation, hadronic phenomenologies, and grand unified field theories is briefly pointed out.

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