Sea contributions to the electric polarizability of the hadrons

Abstract

We present a lattice QCD calculation of the polarizability of the neutron and other neutral hadrons that includes the effects of the background field on the sea quarks. This is done by perturbatively reweighting the charges of the sea quarks to couple them to the background field. The main challenge in such a calculation is stochastic estimation of the weight factors, and we discuss the difficulties in this estimation. Here we use an extremely aggressive dilution scheme to reduce the stochastic noise to a manageable level. The pion mass in our calculation is 306 MeV and the lattice size is 3 fm. For neutron, we find that ${\alpha }_E=2.70(55)\ast 10^{-4}f{m}^3$, which is the most precise lattice QCD determination of the polarizability to date that includes sea effects.

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• Reconciling the lattice background field method with nonrelativistic QED: Spinor case
• Charged pion electric polarizability from four-point functions in lattice QCD
• Charged pion electric polarizability from lattice QCD
• Nucleon polarizabilities in covariant baryon chiral perturbation theory with explicit $\Delta$ degrees of freedom
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• Charged particles interaction in both a finite volume and a uniform magnetic field II: topological and analytic properties of a magnetic system
• Dipole polarizabilities of light pseudoscalar mesons within the Domain Model of QCD vacuum
• Energy of a point-like neutron in an external electromagnetic field
• Measuring charged particle polarizabilities on the lattice without background fields