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Gauged gaussian Projected Entangled Pair States are particular tensor networkconstructions that describe lattice states of fermionic matter interacting withdynamical gauge fields. We show how one can efficiently compute, usingMonte-Carlo techniques, expectation values of physical observables in thatclass of states. This opens up the possibility of using tensor networktechniques to investigate lattice gauge theories in two and three spatialdimensions.

Combining Tensor Networks with Monte Carlo Methods for Lattice Gauge Theories