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

TL;DR

This paper investigates the renormalisation of anisotropic SU(N_c) gauge theories on lattices using perturbation theory, and applies findings to high-energy scattering approaches in QCD, refining theoretical understanding and effective models.

Contribution

It provides the first one-loop perturbative analysis of gauge theories on anisotropic lattices and connects these results to high-energy scattering frameworks in QCD.

Findings

Refined nonperturbative justification of Wilson-loop correlator relations.

Analyzed one-loop corrections in longitudinally-rescaled actions.

Established connections between gauge theories and principal chiral models.

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 one-loop corrections on the relation between the $SU(N_c)$ gauge theory and its effective description in terms of two-dimensional principal chiral models.