U(1) flux tube profiles from Hamiltonian lattice gauge theory using a   random walk ground-state projector
  We use a self-guided random walk to solve the ground-state problem of Hamiltonian U(1) pure gauge theory in 2+1 dimensions in the string sector. By making use of the electric-field representation, we argue that the spatial distribution of the electric field can be more easily measured than in ordinary Monte Carlo simulations. 
Christoph Best and Andreas Sch\"afer