Bignell, R.Kamleh, W.Leinweber, D.Doglioni, C.Kim, D.Stewart, G.A.Silvestris, L.Jackson, P.Kamleh, W.2021-08-192021-08-192020EPJ Web of Conferences, 2020 / Doglioni, C., Kim, D., Stewart, G.A., Silvestris, L., Jackson, P., Kamleh, W. (ed./s), vol.245, pp.06033-1-06033-92100-014X2100-014Xhttp://hdl.handle.net/2440/131537Background field methods offer an approach through which fundamental non-perturbative hadronic properties can be studied. Lattice QCD is the only <jats:italic>ab initio</jats:italic> method with which Quantum Chromodynamics can be studied at low energies; it involves numerically calculating expectation values in the path integral formalism. This requires substantial investment in high performance supercomputing resources. A particular challenge of lattice QCD is isolating the desired state, rather than a superposition of excited states. While extensive work has been performed which allows the ground state to be identified in lattice QCD calculations, this remains a challenging proposition for the ground state in the presence of a uniform magnetic field field. Quark level projection operators are introduced to resolve this challenge and thus allow for extraction of the magnetic polarisability.en© The Authors, published by EDP Sciences, 2020. This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.Conference paper100004236710.1051/epjconf/202024506033000652214300236578259Bignell, R. [0000-0001-8401-1345]Kamleh, W. [0000-0002-6177-5366]Leinweber, D. [0000-0002-4745-6027]