Continuum limit of gauged tensor network states

A bstract It is well known that all physically relevant states of gauge theories lie in the sectors of the Hilbert space which satisfy the Gauss law. On the lattice, the manifeslty gauge invariant subspace is known to be exactly spanned by gauged tensor networks. In this work, we demonstrate that the continuum limit of certain types of gauged tensor networks is well defined and leads to a novel class of states. We discuss several methods to compute generating functionals that may be helpful for the non-perturbative study of gauge theories directly in the continuum.