Speaker
Dr
Arwed Schiller
(Leipzig University)
Description
For Wilson and clover fermions traditional formulations of the axial vector current do not respect the continuum Ward identity which relates the divergence of that current to the pseudoscalar density. Here we propose to use an one-link axial vector current whose divergence exactly satisfies a lattice Ward identity, involving the pseudoscalar density and a number of irrelevant operators. We check in one-loop lattice perturbation theory with SLiNC fermion and gauge plaquette action that this is indeed the case including order O(a) effects. With those operators that axial Ward identity remains renormalisation invariant. First preliminary results of a nonperturbative check of the Ward identity are presented.
Primary author
Dr
Arwed Schiller
(Leipzig University)
Co-authors
Prof.
Gerrit Schierholz
(DESY Hamburg)
Dr
Holger Perlt
(Leipzig University)
Dr
James Zanotti
(University of Adelaide)
Dr
Paul Rakow
(University of Liverpool)
Dr
Roger Horsley
(University of Edinburgh)
Dr
Yoshifumi Nakamura
(RIKEN AICS)
