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.

References in corpus (9)

• Reweighting towards the chiral limit
• Compton scattering from the proton in an effective field theory with explicit Delta degrees of freedom
• Extracting Nucleon Magnetic Moments and Electric Polarizabilities from Lattice QCD in Background Electric Fields
• Electromagnetic and spin polarisabilities in lattice QCD
• Neutron electric polarizability from unquenched lattice QCD using the background field approach
• QCD at non-zero density and canonical partition functions with Wilson fermions
• Wilson Fermion Determinant in Lattice QCD
• Light Quark Mass Reweighting
• Sample size effects in multivariate fitting of correlated data

Cited by in corpus (4)

• Octet Baryons in Large Magnetic Fields
• Chiral Effective Theory Methods and their Application to the Structure of Hadrons from Lattice QCD
• Reconciling the lattice background field method with nonrelativistic QED: Spinor case
• Measuring charged particle polarizabilities on the lattice without background fields