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Date
2022-01Type
- Journal Article
Abstract
We present a reformulation of gauge theories in terms of gauge invariant fields. Focusing on abelian theories, we show that the gauge and matter covariant fields can be recombined to introduce new gauge invariant degrees of freedom. Starting from the (1 + 1) dimensional case on the lattice, with both periodic and open boundary conditions, we then generalize to higher dimensions and to the continuum limit. To show explicit and physically relevant examples of the reformulation, we apply it to the Hamiltonian of a single particle in a (static) magnetic field, to pure abelian lattice gauge theories, to the Lagrangian of quantum electrodynamics in (3+1) dimensions and to the Hamiltonian of the 2d and the 3d Hofstadter model. In the latter, we show that the particular construction used to eliminate the gauge covariant fields enters the definition of the magnetic Brillouin zone. Finally, we briefly comment on relevance of the presented reformulation to the study of interacting gauge theories. (C) 2021 Elsevier Inc. All rights reserved. Show more
Publication status
publishedExternal links
Journal / series
Annals of PhysicsVolume
Pages / Article No.
Publisher
ElsevierSubject
Lattice gauge theories; Interacting lattice models; Hofstadter model; Quantum simulation; Gauge theoriesOrganisational unit
09738 - Krstic Marinkovic, Marina / Krstic Marinkovic, Marina
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