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Finite-group gauge theories on lattices as Hamiltonian systems with constraints

Araujo de Resende, M. F.

Modern physics letters A, 2023-02, Vol.38 (6) [Periódico revisado por pares]

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Título:
Finite-group gauge theories on lattices as Hamiltonian systems with constraints
Autor: Araujo de Resende, M. F.
Assuntos: Gauge theory ; Hamiltonian functions ; Lattices ; Quantum computing
É parte de: Modern physics letters A, 2023-02, Vol.38 (6)
Descrição: In this work, we present a brief but insightful overview of the gauge theories, which are defined on n-dimensional lattices by using finite gauge groups, in order to show how they can be interpreted as a Hamiltonian system with constraints, analogous to what happens with the classical (continuous) gauge (field) theories. As this interpretation is not usually explored in the literature that discusses/introduces the concept of lattice gauge theory, but some recent works have been exploring Hamiltonian models in order to support some kind of quantum computation, we use this interpretation to, for example, present a brief geometric view of one class of these models: the Kitaev Quantum Double Models.
Editor: Singapore: World Scientific Publishing Co. Pte., Ltd
Idioma: Inglês

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