Suppose we were to simulate 1D QED on a 1D lattice. How much information do we need at each lattice site given the mass, charge, and spin of the particles (does spin make sense in 1-1D spacetime?)? The links between lattice sites represent the gauge field? How much information is needed at each link? I'm guessing this lattice could be used to calculate whether oppositely charged particles moving towards each other with momentum p1 and p2, scattered or annihilated in one space dimension? Do we have "braking radiation" or Bremsstrahlung in 1D Edit, do we need a lattice of both time and space? Can the lattice accommodate any number of particles? Thanks for any help!