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

• URL: http://arxiv.org/abs/2008.01349v2
• Date: Mon, 14 Dec 2020 13:30:14 GMT
• Title: A gauge redundancy-free formulation of compact QED with dynamical matter for quantum and classical computations
• Authors: Julian Bender, Erez Zohar
• Abstract summary: We introduce a way to express compact quantum electrodynamics with dynamical matter on two- and three-dimensional spatial lattices. 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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