A Method to Extract Charged Hadron Properties from Lattice QCD in Magnetic Fields

Abstract

By analyzing the external field dependence of correlation functions, the magnetic properties of hadrons can be determined using lattice QCD in magnetic fields. To compute the magnetic moments and polarizabilities of charged hadrons, for example, one requires sufficiently weak magnetic fields. Such field strengths, however, lead to closely spaced Landau levels that are not straightforwardly resolved using standard lattice spectroscopy. Focusing on charged spinless hadrons, we introduce a simple projection technique that can be used to isolate the lowest Landau level. As the technique requires the explicit coordinate-space wave-function, we investigate the extent to which the continuum, infinite volume wave-function can be employed. We find that, in practice, the effects of discretization can be handled using a perturbative expansion about the continuum. Finite volume corrections are taken into account by using the discrete magnetic translational invariance of the torus. We show that quantized magnetic fields can lead to pernicious volume effects which depend on the magnetic flux quantum, rather than on the lattice volume.

15 pages, 3 figures, v.2 clarifications made, numerical section added

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Cited by in corpus (15)

• The Magnetic Structure of Light Nuclei from Lattice QCD
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• Magnetic properties of the nucleon in a uniform background field
• Finite-volume and partial quenching effects in the magnetic polarizability of the neutron
• Pion magnetic polarisability using the background field method
• Magnetic polarisability of the nucleon using a Laplacian mode projection
• Neutron magnetic polarisability with Landau mode operators
• Pion in a uniform background magnetic field with clover fermions
• Neutron in a Strong Magnetic Field: Finite Volume Effects
• Nucleon in a periodic magnetic field
• Reconciling the lattice background field method with nonrelativistic QED: Spinor case
• Composite Vector Particles in External Electromagnetic Fields
• Background Electromagnetic Fields and NRQED Matching: Scalar Case
• Magnetic Polarisability of Octet Baryons via Lattice QCD
• Energy of a point-like neutron in an external electromagnetic field