Finite size analysis of the U(1) phase transition using the world-sheet formulation

Abstract

We present a high statistics analysis of the pure gauge compact U(1) lattice theory using the the world−sheet or Lagrangian loop representation. We have applied a simulation method that deals directly with (gauge invariant) integer variables on plaquettes. As a result we get a significant amelioration of the simulation that allows to work with large lattices avoiding the metaestability problems that appear using the standard Wilson formulation.