Baryon axial charge in a finite volume

Abstract

We compute finite-volume corrections to nucleon matrix elements of the axial-vector current. We show that knowledge of this finite-volume dependence -as well as that of the nucleon massobtained using lattice QCD will allow a clean determination of the chiral-limit values of the nucleon and ∆-resonance axial-vector couplings.

Extrapolation formulas for neutron EDM calculations in lattice QCD

“…Details of this procedure can be found in Refs. [33,34], and we will not elaborate further here. By computing the one-loop diagrams in Fig.…”

“…For large enough lattices, of course, these finite volume effects will be exponentially small [16,17,33]. There has been a fair amount of work on finite volume corrections to quantities calculated in lattice QCD [14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36], but it is only recently that the properties of baryons, and in particular the nucleon, have been considered [33,34,35,36].…”

Finite volume effects for meson masses and decay constants

“…(8,9,12) represent quickly converging expressions. Several observables have been worked out at one-loop order [5,6,7,8,10,11,17,18], but to date no two-loop result obtained in this setup has appeared.…”

“…2. The terms S (4) Mπ , S (6) Mπ are contributions from the loop functions at order p 4 , p 6 . They are explicitly given in appendix A and their numerical importance is discussed below.…”

“…To date, a number of finite volume calculations have been performed at one-loop order. In the nucleon sector the corrections to the mass [5,6], the magnetic moment [6] and the baryon axial charge [7] have been worked out. In the meson sector the original calculation for M π (L) and F π (L) [2] has been extended to the quenched case [8].…”