Abstract
It is shown that gauge noncovariance character of the condition usually imposed on the divergence of a non-Abelian gauge field is inherited by S-matrix elements. The method for proving gauge invariance of quantum electrodynamics is generalized to non-Abelian local gauge transformation groups. That is, the transformation group represented in the Heisenberg picture is translated into a group operating on operators and state vectors in the interaction picture, and then invariance of the Tomonaga-Schwinger equation under the reduced group is examined. A new criterion is also proposed to discuss whether the self-interaction of a non-Abelian gauge field can generate a non-vanishing self-energy.
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.
