Lattice theories of chiral fermions.

We present a Hamiltonian formulation for gauged non-anomalous chiral theories on a spatial lattice. The formulation has the desirable properties that it provides exact chiral symmetry in the mass + 0 limit, with a correct fermion spectrum and correct weak coupling perturbation theory for QED. It can be generalized to non-Abelian theories. The disadvantage of the formalism is that it is complicated and non-local (on the lattice) and hence not easily implemented in practical calculations. However it does provide an existence proof for a satisfactory chiral lattice gauge theory in the Hamiltonian formulation. 2