Magnetic Properties of the Proton and Neutron

The magnetic moment and magnetic polarisability are important fundamental properties of particles such as the proton. They describe the interaction with and response to an applied magnetic field. The ability to calculate values for these observables from the first principles of QCD at the quark level is at the leading edge of lattice QCD research. An overview of how these calculations are performed on the lattice is presented. A quantised magnetic field is applied to the periodic space-time lattice using the background-field method. Values of the magnetic moment and magnetic polarisability for the proton and neutron are reported using this method. These values are calculated on a large lattice, allowing for a reasonably small magnetic field strength, making these the world's first quantitative results.