Abstract
The β-function is calculated for an SU (N) Yang–Mills theory from an ansatz for the vacuum wavefunctional. Direct comparison is made with the results of calculations of the β-function of QCD. In both cases the theories are asymptotically free, the only difference being in the numerical coefficient of the β-function, which is found to be -4 from the ansatz and [Formula: see text] from other QCD calculations. This is because, due to the constraint of Gauss' law applied to the wavefunctional, some interactions between gluons (which contribute the [Formula: see text]) are omitted. The renormalisation procedure is understood in terms of "tadpole" and "horseshoe" Feynman diagrams which must be interpreted with a nonlocal propagator.
Submitted Version (
Free)
Published Version
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 call