Model of bosonization by flux attachment on hamiltonian lattices of arbitrary dimension

Arkadiusz Bochniak, Błażej Ruba

Published 2020-03-15Version 1

We present and prove the correctness of a bosonization prescription for fermionic lattice models in arbitrary dimensions. Our bosonized model is subject to constraints, which are interpreted in the language of lattice $\mathbb{Z}_2$ gauge theory. Complete solutions of the constraints is found in the case of even-even spatial lattices. Further possible relations with other topologically non-trivial lattice models are discussed.