Electromagnetic and spin polarisabilities in lattice QCD

Abstract

We discuss the extraction of the electromagnetic and spin polarisabilities of nucleons from lattice QCD. We show that the external field method can be used to measure all the electromagnetic and spin polarisabilities including those of charged particles. We then turn to the extrapolations required to connect such calculations to experiment in the context of finite volume chiral perturbation theory. We derive results relevant for lattice simulations of QCD, partially-quenched QCD and quenched QCD. Our results for the polarisabilities show a strong dependence on the lattice volume and quark masses, typically differing from the infinite volume limit by ~10% for current lattice volumes and quark masses.

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• Extracting Nucleon Magnetic Moments and Electric Polarizabilities from Lattice QCD in Background Electric Fields
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• Magnetic properties of the nucleon in a uniform background field
• Proton spin polarizabilities from polarized Compton scattering
• Universality of Mixed Action Extrapolation Formulae
• Electric polarizability of neutral hadrons from dynamical lattice QCD ensembles
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• Hadrons in Strong Electric and Magnetic Fields
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• Octet Baryon Magnetic Moments from Lattice QCD: Approaching Experiment from a Three-Flavor Symmetric Point
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• Magnetic polarisability of the nucleon using a Laplacian mode projection
• Higher order forward spin polarizability
• Hadronic light-by-light contribution to $(g-2{)}_{\mu }$ from lattice QCD with SU(3) flavor symmetry
• External Momentum, Volume Effects, and the Nucleon Magnetic Moment
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• On the Implementation of General Background Electromagnetic Fields on a Periodic Hypercubic Lattice
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• Applications of Chiral Perturbation theory to lattice QCD
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• Volume Effects for Pion Two-Point Functions in Constant Electric and Magnetic Fields
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• Towards charged hadron polarizabilities from four-point functions in lattice QCD
• Current Renormalization in Finite Volume
• Nucleon in a periodic magnetic field
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• The chiral structure of the neutron as revealed in electron and photon scattering
• Charged pion electric polarizability from four-point functions in lattice QCD
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• Elementary quantum mechanics of the neutron with an electric dipole moment
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• Topics in Effective Field Theory for Lattice QCD
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• Energy of a point-like neutron in an external electromagnetic field