Title: 

The spectrum of pure QCD in 3 and 4d 

Abstract: 

I will review recent advances in analytic pure QCD (i.e. 
Yang-Mills theory) in 2+1 and 3+1 dimensions. These new analytic 
results are based on the novel vacuum wave-functionals written in 
terms of so-called corner variables. The analytic results are in 
excellent comparison with lattice simulation in 2+1 dimensions. For 
example, the masses of ground states given in terms of the square 
root of the string tension are indistinguishable from their lattice 
counterparts. The comparison between theory and lattice simulations 
in 3+1 is very good, i.e. up to a few to around ten percent.