Speaker
Description
Connecting low-energy lattice results to high-energy continuum calculations is highly nontrivial, as they rely on fundamentally different regularizations. The gradient flow offers an elegant way to bridge this gap, since it can be implemented both on the lattice and in the continuum and naturally defines renormalized couplings and observables.
While the GF up to now has found most of its applications in QCD, I consider its implementations in other theories such as scalar QCD, or theories with U$(1)$ gauge factor. I present explicit results for the perturbative gradient-flow coupling for QED in (3+1) and (2+1) dimensions. QED$_4$ serves as a clean Abelian testing ground and limiting case of QCD, while QED$_3$ shares important qualitative features with QCD such as chiral symmetry breaking and the presence of an infrared fixed point in the large-$N_f$ expansion.