Continuum limit of gauged tensor network states

TL;DR

This paper shows that gauged tensor networks have a well-defined continuum limit, creating new states useful for non-perturbative gauge theory studies directly in the continuum.

Contribution

It demonstrates the continuum limit of gauged tensor networks, introducing a new class of states for non-perturbative gauge theory analysis.

Findings

Continuum limit of gauged tensor networks is well-defined.

New class of states for gauge theories in the continuum.

Potential for non-perturbative studies of gauge theories.

Abstract

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 new class of states that may be helpful for the non-perturbative study of gauge theories directly in the continuum.