Say we try and calculate the ground state energy of the bound state of a quark antiquark meson via lattice QCD. Say I look at one space time lattice point of one path. Do the fermi fields "live" on the lattice points? Do the boson fields "live" on the legs between the space time lattice points? Could it be the other way, fermi fields on the legs and boson fields at the lattice points? How many numbers do I need to specify the state of the fermi fields at a space time point? How many numbers nail down the state of the boson fields on one of the legs? Thanks for any help!