On investigating the structure of hadrons: Lattice Monte Carlo measurements of colour magnetic and electric fields and the topological charge density inside glueballs

Abstract

We present some techniques for elucidating hadronic structure via lattice Monte Carlo calculations. Applying these techniques, we measure the fluctuations of colour magnetic and electric fields as well as the topological charge density inside and outside the lowest lying 0 + and 2 + glueballs in the SU(2) non-abelian lattice gauge theory. This gives us a picture of the glueball structure. We also obtain, as a by-product, an estimate of the gluon condensate ( α s /π)〈π|F μν aF μν a|Ω〈 and an estimate of the 0 − glueball mass which agrees with our previous estimates.