Implementation of general background electromagnetic fields on a periodic hypercubic lattice
Name
PhysRevD.92.074506.pdf
Size
737.34 KB
Format
Adobe PDF
Checksum (MD5)
8834dafb071bf79064d3de2f572bde9f
Author(s)
Davoudi, Zohreh
Detmold, William
Date Issued
October 2015
Journal
Physical Review D
Publisher
American Physical Society
Citation
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
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
Terms of Use
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.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevD.92.074506
