Gauge redundancy-free formulation of compact QED with dynamical matter for quantum and classical computations

Julian Bender, Erez Zohar

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

We introduce a way to express compact quantum electrodynamics with dynamical matter on two- and three-dimensional spatial lattices in a gauge redundancy-free manner while preserving translational invariance. By transforming to a rotating frame, where the matter is decoupled from the gauge constraints, we can express the gauge field operators in terms of dual operators. In two space dimensions, the dual representation is completely free of any local constraints. In three space dimensions, local constraints among the dual operators remain but involve only the gauge field degrees of freedom (and not the matter degrees of freedom). These formulations, which reduce the required Hilbert space dimension, could be useful for both numerical (classical) Hamiltonian computations and quantum simulation or computation.

Original languageAmerican English
Article number114517
JournalPhysical Review D
Volume102
Issue number11
DOIs
StatePublished - 23 Dec 2020

Bibliographical note

Publisher Copyright:
© 2020 authors. Published by the American Physical Society.

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