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By analyzing the external field dependence of correlation functions, themagnetic properties of hadrons can be determined using lattice QCD in magneticfields. To compute the magnetic moments and polarizabilities of chargedhadrons, for example, one requires sufficiently weak magnetic fields. Suchfield strengths, however, lead to closely spaced Landau levels that are notstraightforwardly resolved using standard lattice spectroscopy. Focusing oncharged spinless hadrons, we introduce a simple projection technique that canbe used to isolate the lowest Landau level. As the technique requires theexplicit coordinate-space wave-function, we investigate the extent to which thecontinuum, infinite volume wave-function can be employed. We find that, inpractice, the effects of discretization can be handled using a perturbativeexpansion about the continuum. Finite volume corrections are taken into accountby using the discrete magnetic translational invariance of the torus. We showthat quantized magnetic fields can lead to pernicious volume effects whichdepend on the magnetic flux quantum, rather than on the lattice volume.

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