✍ Scribed by P.P Divakaran
No coin nor oath required. For personal study only.
The results of an earlier work on the representations of currents on the physical Hilbert space are extended to "representations at infinite momentum." A detailed construction of the infinite momentum representation space in a proper basis is given and it is shown that irreducible subspaces correspond uniquely to irreducible subspaces of the physical Hilbert space. The internal symmetry spectrum in each irreducible representation is unbounded and the mass spectrum is unbounded and continuous from some point onward if it is not strictly degenerate. Representations of free-field currents are given special attention.
📜 SIMILAR VOLUMES
Some properties of representations of local current operators are studied. The currents are assumed to be conserved and to have charge densities transforming like the regular representation of any internal symmetry group G containing the isospin SU, . The representation space is the "physical" Hilbe