Abstract
Multiplets |J M > transforming under irreducible representations of the algebra of S U(2) are constructed as infinite sums of products of two S U(1, 1) states |−pl> and |M+pj>. The ``generalized coupling coefficients'' figuring in the construction are shown to exist if the S U(2) label J and the S U(1, 1) labels j and l satisfy j = l + J - k, 0 ≤ k ≤ 2J. They are constructed explicitly and turn out to be analytic continuations of both S U(2) and S U(1, 1) Clebsch-Gordan coefficients. The constructed states |J M > are not normalizable in the usual sense. The ``generalized coupling coefficients'' can be applied, e.g., to study vertices, involving ordinary particles (with mass satisfying m2 > 0 and S U(2) spin) and tachyons (m2 < 0, S U(1, 1) spin).
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
