Abstract
The Lie algebraic structure of the commutation bracket in quantum field theory is examined in a novel setting. A commutator is abstracted from a simple model field theory and then within its general structure is allowed to be quite arbitrary. It is then shown by formal calculation that the Lie identities can be recovered if only the translational invariance of integraation is assumed and two extremely weak properties of the forward and backward propagators. These have the interpretation that backward propagation is the reverse of forward propagation and a loop of purely forward propagation vanishes. If Lorentz invariance is further imposed these are shown to imply local commutativity. The use of formal calculation is justified through the fact that the propagators are essentially arbitrary functions. The significance and generality of the results obtained are discussed.
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.
