Abstract
When an exact gauge symmetry group H is embedded in a larger group G which is broken back to H spontaneously, there are situations in which the angular momentum operator acquires a new term, t, where t 1, t 2, t 3 generate an angular momentum sub-algebra of G. Thus internal and external symmetries are coupled. It is shown that the radial component of t is a linear combination of the generators of H. When H consists of a colour group and an electromagnetic U(1) generated by the electric charge operator Q which is a colour singlet, then the coefficient of Q in this decomposition is minus the magnetic charge occurring in the situation. For general H the structure of the decomposition of the radial component of t into generators of H completely determines the topological quantum numbers of the solution considered. The result provides a useful new tool for the model building of monopoles.
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.
