# The 39th International Symposium on Lattice Field Theory (Lattice 2022)

Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

## On improvement and renormalisation of quark currents with stabilised Wilson fermions

Aug 9, 2022, 8:00 PM
1h
Poster Presentation Standard Model Parameters

### Speaker

Justus Kuhlmann (WWU Münster)

### Description

We report on the non-perturbative determination of the improvement coefficient $c_A$ of the axial vector current $A^\mu(x)$ in three-flavour lattice QCD with stabilised Wilson-Clover fermions.
Our computational method exploits the PCAC relation for two different pseudo-scalar states within the Schrödinger functional, which are modelled by altering the spatial structures at the boundaries via properly chosen wavefunctions.
The lattice spacings considered span a range that matches the gauge field ensembles with the stabilised Wilson-Clover action being generated by the OPEN LATtice initiative.
In the same framework and using chiral Ward identities, we also present preliminary results on the renormalisation constants $Z_V$ and $Z_A$ of the vector and axial vector current, respectively.

### Primary authors

Jochen Heitger (University of Münster, ITP) Justus Kuhlmann (WWU Münster) Patrick Fritzsch (Trinity College Dublin)

### Presentation materials

There are no materials yet.