2+1 flavour Domain Wall Fermion simulations by the RBC and UKQCD collaborations

Abstract

We review simulations of dynamical domain wall fermions at a fixed inverse lattice spacing of 1.73GeV and with pion masses as light as 330MeV and spatial dimensions as large as 2.7fm performed by the RBC and UKQCD collaborations. These results include pseudoscalar masses and decay constants and low energy constants of the chiral effective lagrangian. We also review results for the neutral kaon mixing amplitude $B_K$, the Kl3 form factor, pseudoscalar meson structure, and vector meson decay constants. In the baryon sector we review results for the spectrum, and nucleon form factors and structure functions. Highlights of our programme include preliminary quark masses, and determinations of $V_{us}$ from both $f_K/f_\pi$ and from Kl3, and an updated result for $B_K$. We find significant finite volume effects in the nucleon axial charge $g_A$ for our $m_\pi=330$ MeV ensemble on a $(2.7 {\rm fm})^3$ lattice, and highlight the importance of large physical volumes for non-trivial nucleon physics.