Gauge invariant determination of charged hadron masses

for the RC⋆ collaboration

Research output: Contribution to journalJournal articleResearchpeer-review

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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 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.

Original languageEnglish
Article number146
JournalJournal of High Energy Physics
Volume2018
Issue number5
Number of pages19
ISSN1126-6708
DOIs
Publication statusPublished - 1. May 2018

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photons
functionals
hadrons
fixing
proposals
sectors
quantum chromodynamics
boundary conditions
operators
simulation

Keywords

  • Lattice Quantum Field Theory
  • Nonperturbative Effects

Cite this

for the RC⋆ collaboration. / Gauge invariant determination of charged hadron masses. In: Journal of High Energy Physics. 2018 ; Vol. 2018, No. 5.
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Gauge invariant determination of charged hadron masses. / for the RC⋆ collaboration.

In: Journal of High Energy Physics, Vol. 2018, No. 5, 146, 01.05.2018.

Research output: Contribution to journalJournal articleResearchpeer-review

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T1 - Gauge invariant determination of charged hadron masses

AU - Hansen, M.

AU - Lucini, B.

AU - Patella, A.

AU - Tantalo, N.

AU - for the RC⋆ collaboration

PY - 2018/5/1

Y1 - 2018/5/1

N2 - 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.

AB - 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.

KW - Lattice Quantum Field Theory

KW - Nonperturbative Effects

U2 - 10.1007/JHEP05(2018)146

DO - 10.1007/JHEP05(2018)146

M3 - Journal article

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JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

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