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Gauge invariant determination of charged hadron masses

M. Hansen, B. Lucini, A. Patella, N. Tantalo, Biagio Lucini Orcid Logo

Journal of High Energy Physics, Volume: 2018, Issue: 5

Swansea University Author: Biagio Lucini Orcid Logo

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DOI (Published version): 10.1007/jhep05(2018)146

Abstract

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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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa40425
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first_indexed 2018-05-25T19:01:49Z
last_indexed 2020-06-29T18:54:20Z
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spelling 2020-06-29T18:09:55.5747410 v2 40425 2018-05-25 Gauge invariant determination of charged hadron masses 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2018-05-25 SMA 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. Journal Article Journal of High Energy Physics 2018 5 Springer Science and Business Media LLC 1029-8479 Lattice Quantum Field Theory Nonperturbative Effects 1 5 2018 2018-05-01 10.1007/jhep05(2018)146 http://dx.doi.org/10.1007/jhep05(2018)146 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University RCUK, Danish National Research Foundation ,Institution, Royal Society, Wolfson fundation, WEFO 2020-06-29T18:09:55.5747410 2018-05-25T14:30:45.6249456 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics M. Hansen 1 B. Lucini 2 A. Patella 3 N. Tantalo 4 Biagio Lucini 0000-0001-8974-8266 5 0040425-25052018143209.pdf cstarqed.pdf 2018-05-25T14:32:09.6170000 Output 454381 application/pdf Version of Record true 2018-05-25T00:00:00.0000000 This article is published under an open access license. true eng
title Gauge invariant determination of charged hadron masses
spellingShingle Gauge invariant determination of charged hadron masses
Biagio Lucini
title_short 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_sort Gauge invariant determination of charged hadron masses
author_id_str_mv 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author Biagio Lucini
author2 M. Hansen
B. Lucini
A. Patella
N. Tantalo
Biagio Lucini
format Journal article
container_title Journal of High Energy Physics
container_volume 2018
container_issue 5
publishDate 2018
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/jhep05(2018)146
publisher Springer Science and Business Media LLC
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
url http://dx.doi.org/10.1007/jhep05(2018)146
document_store_str 1
active_str 0
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.
published_date 2018-05-01T03:51:30Z
_version_ 1763752531744260096
score 11.013686

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