A discrete relativistic spacetime formalism for 1 + 1-QED with continuum limits

We build a quantum cellular automaton (QCA) which coincides with [Formula: see text] QED on its known continuum limits. It consists in a circuit of unitary gates driving the evolution of particles on a one dimensional lattice, and having them interact with the gauge field on the links. The particles...

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Autores principales: Sellapillay, Kevissen, Arrighi, Pablo, Di Molfetta, Giuseppe
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8828844/
https://www.ncbi.nlm.nih.gov/pubmed/35140305
http://dx.doi.org/10.1038/s41598-022-06241-4
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author Sellapillay, Kevissen
Arrighi, Pablo
Di Molfetta, Giuseppe
author_facet Sellapillay, Kevissen
Arrighi, Pablo
Di Molfetta, Giuseppe
author_sort Sellapillay, Kevissen
collection PubMed
description We build a quantum cellular automaton (QCA) which coincides with [Formula: see text] QED on its known continuum limits. It consists in a circuit of unitary gates driving the evolution of particles on a one dimensional lattice, and having them interact with the gauge field on the links. The particles are massive fermions, and the evolution is exactly U(1) gauge-invariant. We show that, in the continuous-time discrete-space limit, the QCA converges to the Kogut–Susskind staggered version of [Formula: see text] QED. We also show that, in the continuous spacetime limit and in the free one particle sector, it converges to the Dirac equation—a strong indication that the model remains accurate in the relativistic regime.
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spelling pubmed-88288442022-02-10 A discrete relativistic spacetime formalism for 1 + 1-QED with continuum limits Sellapillay, Kevissen Arrighi, Pablo Di Molfetta, Giuseppe Sci Rep Article We build a quantum cellular automaton (QCA) which coincides with [Formula: see text] QED on its known continuum limits. It consists in a circuit of unitary gates driving the evolution of particles on a one dimensional lattice, and having them interact with the gauge field on the links. The particles are massive fermions, and the evolution is exactly U(1) gauge-invariant. We show that, in the continuous-time discrete-space limit, the QCA converges to the Kogut–Susskind staggered version of [Formula: see text] QED. We also show that, in the continuous spacetime limit and in the free one particle sector, it converges to the Dirac equation—a strong indication that the model remains accurate in the relativistic regime. Nature Publishing Group UK 2022-02-09 /pmc/articles/PMC8828844/ /pubmed/35140305 http://dx.doi.org/10.1038/s41598-022-06241-4 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Sellapillay, Kevissen
Arrighi, Pablo
Di Molfetta, Giuseppe
A discrete relativistic spacetime formalism for 1 + 1-QED with continuum limits
title A discrete relativistic spacetime formalism for 1 + 1-QED with continuum limits
title_full A discrete relativistic spacetime formalism for 1 + 1-QED with continuum limits
title_fullStr A discrete relativistic spacetime formalism for 1 + 1-QED with continuum limits
title_full_unstemmed A discrete relativistic spacetime formalism for 1 + 1-QED with continuum limits
title_short A discrete relativistic spacetime formalism for 1 + 1-QED with continuum limits
title_sort discrete relativistic spacetime formalism for 1 + 1-qed with continuum limits
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8828844/
https://www.ncbi.nlm.nih.gov/pubmed/35140305
http://dx.doi.org/10.1038/s41598-022-06241-4
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