Inclusion of isospin breaking effects in lattice simulations
arXiv:1505.07057
Abstract
Isospin symmetry is explicitly broken in the Standard Model by the mass and electric charge of the up and down quarks. These effects represent a perturbation of hadronic amplitudes at the percent level. Although these contributions are small, they play a crucial role in hadronic and nuclear physics. Moreover, as lattice computations are becoming increasingly precise, it is becoming more and more important to include these effects in numerical simulations. We summarize here how to properly define QCD and QED on a finite and discrete space-time so that isospin corrections to hadronic observables can be computed ab-initio and we review the main results on the isospin corrections to the hadron spectrum. We mainly focus on the recent work going beyond the electro-quenched approximation.
16 pages, 5 figures, Contribution to the Proceedings of the 32nd International Symposium on Lattice Field Theory (Lattice 2014), 23-28 June 2014, Columbia University, New York, NY, USA
References in corpus (11)
- Ab initio calculation of the neutron-proton mass difference
- QED in finite volume and finite size scaling effect on electromagnetic properties of hadrons
- Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
- Electromagnetic mass splittings of the low lying hadrons and quark masses from 2+1 flavor lattice QCD+QED
- QED Corrections to Hadronic Processes in Lattice QCD
- Strong-Isospin Violation in the Neutron-Proton Mass Difference from Fully-Dynamical Lattice QCD and PQQCD
- Determination of light quark masses from the electromagnetic splitting of pseudoscalar meson masses computed with two flavors of domain wall fermions
- The Electromagnetic Self-Energy Contribution to M_p - M_n and the Isovector Nucleon Magnetic Polarizability
- Electromagnetic Corrections in Partially Quenched Chiral Perturbation Theory
- A lattice determination of Sigma - Lambda mixing
- The leading disconnected contribution to the anomalous magnetic moment of the muon