High-energy scattering and Euclidean-Minkowskian duality

TL;DR

This paper explores the connection between Euclidean and Minkowskian formulations of high-energy scattering amplitudes in QCD, aiming to understand the asymptotic behavior of hadron-hadron cross-sections and the potential emergence of pomeron-like phenomena.

Contribution

It investigates the analyticity and crossing-symmetry properties of Wilson loop scattering amplitudes and their relation to the high-energy behavior of total cross-sections in QCD.

Findings

Analyticity and crossing-symmetry properties relate Euclidean and Minkowskian amplitudes.

Discussion on the possibility of deriving pomeron-like behavior from duality.

Highlights unresolved issues in the asymptotic s-dependence of cross-sections.

Abstract

We shall discuss how some relevant analyticity and crossing-symmetry properties of the "eikonal scattering amplitudes" of two Wilson loops in QCD, when going from Euclidean to Minkowskian theory, can be related to the still unsolved problem of the asymptotic s-dependence of the hadron-hadron total cross-sections. In particular, we critically discuss the question if (and how) a pomeron-like behaviour can be derived from this Euclidean-Minkowskian duality.