Renormalization of gauge theories on general anisotropic lattices and high-energy scattering in QCD

Abstract

We study the renormalisation of SU (N c ) gauge theories on general anisotropic lattices, to one-loop order in perturbation theory, employing the background field method. The results are then applied in the context of two different approaches to hadronic high-energy scattering. In the context of the Euclidean nonperturbative approach to soft high-energy scattering based on Wilson loops, we refine the nonperturbative justification of the analytic continuation relations of the relevant Wilson-loop correlators, required to obtain physical results. In the context of longitudinally rescaled actions, we study the consequences of oneloop corrections on the relation between the SU (N c ) gauge theory and its effective description in terms of two-dimensional principal chiral models.

Lattice Renormalization of Quantum Simulations

“…In the continuum limit, Minkowski and Euclidean results are the analytic continuation of each other [128][129][130]. At finite a t and finite statistics, this exact relation is complicated, but approximate relations remain [9,[131][132][133][134]. While analytic continuation of lattice observables suffer from signal-to-noise problems [92,[134][135][136][137][138][139][140][141], observables suitable for scale setting have been studied [142,143].…”