Regge Regime in QCD and Asymmetric Lattice Gauge Theory

TL;DR

This paper investigates the Regge regime of QCD using an asymmetric lattice gauge theory, revealing how longitudinal and transversal dynamics interact and differ from previous models, with implications for understanding high-energy scattering.

Contribution

It introduces a novel lattice gauge theory framework for the Regge regime of QCD, highlighting the role of the spectrum of the chiral field in effective interactions.

Findings

Longitudinal dynamics described by 2D chiral field

Effective interactions depend on the chiral spectrum

Massless and massive excitations lead to different effective actions

Abstract

We study the Regge regime of QCD as a special regime of lattice gauge theory on an asymmetric lattice. This lattice has a spacing $a_0 $ in the longitudinal direction and a spacing $a_t $ in the transversal direction. The limit $\frac{a_{0}}{a_{t}} \to 0$ corresponds to correlation functions with small longitudinal and large transversal coordinates, i.e. large $s$ and small $t$. On this lattice the longitudinal dynamics is described by the usual two-dimensional chiral field in finite volume and the transversal dynamics is emerged through an effective interaction of boundary terms of the longitudinal dynamics. The effective interaction depends crucially on the spectrum of the two-dimensional chiral field. Massless exitations produce an effective 2-dimensional action which is different from the action recently proposed by H.Verlinde and E.Verlinde. Massive exitations give raise to an effective action located on the contour in the longitudinal plane.