A variational approach to the QCD wavefunctional : Calculation of the QCD β-function

@inproceedings{Brown1997AVA,
title={A variational approach to the QCD wavefunctional : Calculation of the QCD β-function},
author={William E. Brown and Ian I. Kogan},
year={1997}
}

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 −4+ 1 3 from other QCD calculations. This is because, due to the constraint of Gauss’ law applied to the wavefunctional, transverse gluons… CONTINUE READING