A Mass-Splitting Theorem for General Definitions of Mass
- 25 July 1968
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 171 (5) , 1698-1701
- https://doi.org/10.1103/physrev.171.1698
Abstract
Some previous theorems on mass splitting are considered for the case in which there is no mass gap. It is shown that, for a very wide class of definitions of particle masses, including their definitions as eigenvalues (isolated or nonisolated) of the mass operator, any Lie group containing the Poincaré group cannot contain a conventional semisimple spectrum-generating group such as or .
Keywords
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