The extraction of the axial coupling from finite volume systems: The long and short of it

Details The extraction of the axial coupling from finite volume systems: The long and short of it The extraction of the axial coupling from finite volume systems: The long and short of it

2001-12-11

arxiv.org/abs/hep-lat/0112014v1

Phys.Lett. B529 (2002) 50-56

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages

Scientific paper

10.1016/S0370-2693(02)01241-8

Due to a pion-pole contribution, the nucleon axial current matrix elements can be visualized in position space as becoming delocalized as the chiral limit is approached, with one-third of the current at distance of order the inverse pion mass. However, this delocalization effect will not cause calculations of the axial coupling in a finite system with standard boundary conditions (periodic for boson fields, antiperiodic for fermions) to have large finite volume effects. This is seen by calculating axial coupling using a nonstandard current with axial quantum numbers. The matrix elements of this new current lacks a pion pole and is not delocalized; however, its zero-momentum matrix element is identical to that of the standard axial current both for infinite and finite volumes.

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