“…In lattice quantum chromodynamics (lattice QCD), the extraction of some observables requires the computation of matrix traces [
1] of the form
with D the Dirac operator on the lattice, and
with Γ some Dirac structure, for example,
. This appears, for example, in the calculation of disconnected diagrams [
1]. Furthermore, in the context of generalized parton distributions [
2], the computation of off‐diagonal elements of
, stemming from a displacement along one of the four spacetime dimensions on the lattice, is required; this problem can be reformulated as computing the trace
, with
the permutation matrix resulting from the displacement on the lattice.…”