Gauge invariant determination of charged hadron masses

for the RC⋆ collaboration

doi:10.1007/JHEP05(2018)146

Gauge invariant determination of charged hadron masses

for the RC⋆ collaboration

Department of Mathematics and Computer Science

Swansea University
CERN
University of Plymouth
University of Rome Tor Vergata

Research output: Contribution to journal › Journal article › Research › peer-review

148 Downloads (Pure)

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 language	English
Article number	146
Journal	Journal of High Energy Physics
Volume	2018
Issue number	5
Number of pages	19
ISSN	1126-6708
DOIs	https://doi.org/10.1007/JHEP05(2018)146
Publication status	Published - 1. May 2018

Funding

This work is part of the programme of the RC⋆ Collaboration and we warmly thank our colleagues for their help. We are particularly indebted to Alberto Ramos for his contribution to various stages of this work. BL is supported in part by the Royal Society, by the Wolf-son Foundation and by the STFC Consolidated Grants ST/L000369/1 and ST/P00055X/1. MH is supported by the Danish National Research Foundation grant DNRF90 and by a Lundbeck Foundation Fellowship grant. Numerical simulations have been performed on clusters of the Supercomputing Wales project, partly funded by the European Regional Development Fund (ERDF) via Welsh Government, on a cluster at CERN, managed by the HPC team in the IT Department, and on the Marconi system at CINECA under the initiative INFN-LQCD123.

Keywords

Lattice Quantum Field Theory
Nonperturbative Effects

Documents & Links

10.1007/JHEP05(2018)146Licence: CC BY

Gauge invariant determination of charged hadron massesFinal published version, 444 KBLicence: CC BY

SDU Link

Check access to the material in SDU Library's search engine

Cite this

@article{293973b83f9c4e158c3ad0166fe435c5,

title = "Gauge invariant determination of charged hadron masses",

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.",

keywords = "Lattice Quantum Field Theory, Nonperturbative Effects",

author = "M. Hansen and B. Lucini and A. Patella and N. Tantalo and \{for the RC⋆ collaboration\}",

year = "2018",

month = may,

day = "1",

doi = "10.1007/JHEP05(2018)146",

language = "English",

volume = "2018",

journal = "Journal of High Energy Physics",

issn = "1126-6708",

publisher = "Springer",

number = "5",

}

TY - JOUR

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

AN - SCOPUS:85047665890

SN - 1126-6708

VL - 2018

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 5

M1 - 146

ER -

Gauge invariant determination of charged hadron masses

Abstract

Funding

Keywords

Documents & Links

SDU Link

Fingerprint

Cite this