MAJORANA-LIKE (j, 0) ⊕ (0, j) REPRESENTATION SPACES: CONSTRUCTION AND PHYSICAL INTERPRETATION

Author:

AHLUWALIA D.V.1,JOHNSON M.B.1,GOLDMAN T.2

Affiliation:

1. MP-9, MS H-846, Los Alamos National Laboratory, Los Alamos, NM 87545, USA

2. T-5, MS B-283, Los Alamos National Laboratory, Los Alamos, NM 87545, USA

Abstract

We present a formalism that extends the Majorana-construction to arbitrary spin (j, 0) ⊕ (0, j) representation spaces. For the example case of spin-one, 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

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