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Gauge invariant determination of charged hadron masses

In this paper we show, for the first time, that charged-hadron masses can be calculated on the lattice without relying on gauge fixing at any stage of the calculations. In our simulations we follow a recent proposal and formulate full QCD+QED on a finite volume, without spoiling locality, by imposin...

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Detalles Bibliográficos
Autores principales: Hansen, Martin, Lucini, Biagio, Patella, Agostino, Tantalo, Nazario
Lenguaje:eng
Publicado: 2018
Materias:
Acceso en línea:https://dx.doi.org/10.1007/JHEP05(2018)146
http://cds.cern.ch/record/2305776
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author Hansen, Martin
Lucini, Biagio
Patella, Agostino
Tantalo, Nazario
author_facet Hansen, Martin
Lucini, Biagio
Patella, Agostino
Tantalo, Nazario
author_sort Hansen, Martin
collection CERN
description In this paper we show, for the first time, that charged-hadron masses can be calculated on the lattice without relying on gauge fixing at any stage of the calculations. In our simulations we follow a recent proposal and formulate full QCD+QED on a finite volume, without spoiling locality, by imposing C-periodic boundary conditions in the spatial directions. Electrically charged states are interpolated with a class of operators, originally suggested by Dirac and built as functionals of the photon field, that are invariant under local gauge transformations. We show that the quality of the numerical signal of charged-hadron masses is the same as in the neutral sector and that charged-neutral mass splittings can be calculated with satisfactory accuracy in this setup. We also discuss how to describe states of charged hadrons with real photons in a fully gauge-invariant way by providing a first evidence that the proposed strategy can be numerically viable.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2018
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spelling cern-23057762023-03-21T04:37:49Zdoi:10.1007/JHEP05(2018)146http://cds.cern.ch/record/2305776engHansen, MartinLucini, BiagioPatella, AgostinoTantalo, NazarioGauge invariant determination of charged hadron masseshep-latParticle Physics - LatticeIn this paper we show, for the first time, that charged-hadron masses can be calculated on the lattice without relying on gauge fixing at any stage of the calculations. In our simulations we follow a recent proposal and formulate full QCD+QED on a finite volume, without spoiling locality, by imposing C-periodic boundary conditions in the spatial directions. Electrically charged states are interpolated with a class of operators, originally suggested by Dirac and built as functionals of the photon field, that are invariant under local gauge transformations. We show that the quality of the numerical signal of charged-hadron masses is the same as in the neutral sector and that charged-neutral mass splittings can be calculated with satisfactory accuracy in this setup. We also discuss how to describe states of charged hadrons with real photons in a fully gauge-invariant way by providing a first evidence that the proposed strategy can be numerically viable.arXiv:1802.05474CP3-Origins-2018-006CERN-TH-2018-033CP3-ORIGINS-2018-006oai:cds.cern.ch:23057762018-02-15
spellingShingle hep-lat
Particle Physics - Lattice
Hansen, Martin
Lucini, Biagio
Patella, Agostino
Tantalo, Nazario
Gauge invariant determination of charged hadron masses
title Gauge invariant determination of charged hadron masses
title_full Gauge invariant determination of charged hadron masses
title_fullStr Gauge invariant determination of charged hadron masses
title_full_unstemmed Gauge invariant determination of charged hadron masses
title_short Gauge invariant determination of charged hadron masses
title_sort gauge invariant determination of charged hadron masses
topic hep-lat
Particle Physics - Lattice
url https://dx.doi.org/10.1007/JHEP05(2018)146
http://cds.cern.ch/record/2305776
work_keys_str_mv AT hansenmartin gaugeinvariantdeterminationofchargedhadronmasses
AT lucinibiagio gaugeinvariantdeterminationofchargedhadronmasses
AT patellaagostino gaugeinvariantdeterminationofchargedhadronmasses
AT tantalonazario gaugeinvariantdeterminationofchargedhadronmasses