DERIVATION OF MASS SPECTRUM AND MAGNETIC MOMENTS FROM CURRENT CONSERVATION IN RELATIVISTIC 0(3,1) AND 0(4,2) - THEORIES,
Abstract
It is shown that in the framework of the noncompact dynamical group theory, for every choice of the current operator in the representation space, the requirements of current conservation and universality of charge determine the relativistic mass spectrum. The most general current linear in the algebra and linear in the momenta are investigated and mass spectra of the form m = C(j + 1/2), in 0(3,1), and of the form m = Cn, or m = Cn((1 + a/(n sq.)) to the 1/2 power in 0(4,2) are derived with positive magnetic moments and with form factors in agreement with experiment. The freedom in the choice of current, minimal or nonminimal, is discussed and compared with that which exists in the usual Langrangian field theory. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1967
- Accession Number
- AD0655926
Entities
People
- A. O. Barut
- Dennis Corrigan
- Hagen Kleinert
Organizations
- University of Colorado Boulder