Implementation of general background electromagnetic fields on a periodic hypercubic lattice

Nonuniform background electromagnetic fields, once implemented in lattice quantum chromodynamics calculations of hadronic systems, provide a means to constrain a large class of electromagnetic properties of hadrons and nuclei, from their higher electromagnetic moments and charge radii to their elect...

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Main Authors: Davoudi, Zohreh, Detmold, William
Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics
Format: Article
Language:English
Published: American Physical Society 2015
Online Access:http://hdl.handle.net/1721.1/99362
https://orcid.org/0000-0002-1110-3633
https://orcid.org/0000-0002-0400-8363
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author Davoudi, Zohreh
Detmold, William
author2 Massachusetts Institute of Technology. Center for Theoretical Physics
author_facet Massachusetts Institute of Technology. Center for Theoretical Physics
Davoudi, Zohreh
Detmold, William
author_sort Davoudi, Zohreh
collection MIT
description Nonuniform background electromagnetic fields, once implemented in lattice quantum chromodynamics calculations of hadronic systems, provide a means to constrain a large class of electromagnetic properties of hadrons and nuclei, from their higher electromagnetic moments and charge radii to their electromagnetic form factors. We show how nonuniform fields can be constructed on a periodic hypercubic lattice under certain conditions and determine the precise form of the background U(1) gauge links that must be imposed on the quantum chromodynamics gauge-field configurations to maintain periodicity. Once supplemented by a set of quantization conditions on the background-field parameters, this construction guarantees that no nonuniformity occurs in the hadronic correlation functions across the boundary of the lattice. The special cases of uniform electric and magnetic fields, a nonuniform electric field that varies linearly in one spatial coordinate (relevant to the determination of quadruple moment and charge radii), nonuniform electric and magnetic fields with given temporal and spatial dependences (relevant to the determination of nucleon spin polarizabilities) and plane-wave electromagnetic fields (relevant to the determination of electromagnetic form factors) are discussed explicitly.
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spelling mit-1721.1/993622022-10-01T20:17:07Z Implementation of general background electromagnetic fields on a periodic hypercubic lattice Davoudi, Zohreh Detmold, William Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Davoudi, Zohreh Detmold, William Nonuniform background electromagnetic fields, once implemented in lattice quantum chromodynamics calculations of hadronic systems, provide a means to constrain a large class of electromagnetic properties of hadrons and nuclei, from their higher electromagnetic moments and charge radii to their electromagnetic form factors. We show how nonuniform fields can be constructed on a periodic hypercubic lattice under certain conditions and determine the precise form of the background U(1) gauge links that must be imposed on the quantum chromodynamics gauge-field configurations to maintain periodicity. Once supplemented by a set of quantization conditions on the background-field parameters, this construction guarantees that no nonuniformity occurs in the hadronic correlation functions across the boundary of the lattice. The special cases of uniform electric and magnetic fields, a nonuniform electric field that varies linearly in one spatial coordinate (relevant to the determination of quadruple moment and charge radii), nonuniform electric and magnetic fields with given temporal and spatial dependences (relevant to the determination of nucleon spin polarizabilities) and plane-wave electromagnetic fields (relevant to the determination of electromagnetic form factors) are discussed explicitly. United States. Dept. of Energy (Grant Contract DE-SC0011090) United States. Dept. of Energy (Early Career Research Award DE-SC0010495) 2015-10-20T11:39:06Z 2015-10-20T11:39:06Z 2015-10 2015-08 2015-10-19T22:00:21Z Article http://purl.org/eprint/type/JournalArticle 1550-7998 1550-2368 http://hdl.handle.net/1721.1/99362 Davoudi, Zohreh, and William Detmold. "Implementation of general background electromagnetic fields on a periodic hypercubic lattice." Phys. Rev. D 92, 074506 (October 2015). © 2015 American Physical Society https://orcid.org/0000-0002-1110-3633 https://orcid.org/0000-0002-0400-8363 en http://dx.doi.org/10.1103/PhysRevD.92.074506 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Davoudi, Zohreh
Detmold, William
Implementation of general background electromagnetic fields on a periodic hypercubic lattice
title Implementation of general background electromagnetic fields on a periodic hypercubic lattice
title_full Implementation of general background electromagnetic fields on a periodic hypercubic lattice
title_fullStr Implementation of general background electromagnetic fields on a periodic hypercubic lattice
title_full_unstemmed Implementation of general background electromagnetic fields on a periodic hypercubic lattice
title_short Implementation of general background electromagnetic fields on a periodic hypercubic lattice
title_sort implementation of general background electromagnetic fields on a periodic hypercubic lattice
url http://hdl.handle.net/1721.1/99362
https://orcid.org/0000-0002-1110-3633
https://orcid.org/0000-0002-0400-8363
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