Mass-Splitting Theorem for Translationally Invariant Nonintegrable Lie Algebras
- 25 December 1967
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 164 (5) , 2000-2002
- https://doi.org/10.1103/physrev.164.2000
Abstract
In a previous article, a rigorous theorem prohibiting the derivation of stable baryon mass spectra from unitary representations of Lie groups was generalized to the case of nonunitary group representations. In the present note, the generalization is taken a stage further; namely, it is shown that, subject to some physically mild conditions concerning translational invariance and closure, an analogous theorem can be established for the case of nonintegrable representations of Lie algebras.Keywords
This publication has 5 references indexed in Scilit:
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- An extension of a theorem of L. O'RaifeartaighJournal of Functional Analysis, 1967
- Local Representations and Mass SpectrumPhysical Review Letters, 1966
- Mass differences and Lie Algebras of Finite OrderPhysical Review Letters, 1965
- On Unitary Representations of the Inhomogeneous Lorentz GroupAnnals of Mathematics, 1939