The analytic continuation of the high-energy quark-quark scattering amplitude
Abstract
It is known that the high-energy quark-quark scattering amplitude can be described by the expectation value of two lightlike Wilson lines, running along the classical trajectories of the two colliding particles. Generalizing the results of a previous paper, we give here the general proof that the expectation value of two infinite Wilson lines, forming a certain hyperbolic angle in Minkowski space-time, and the expectation value of two infinite Euclidean Wilson lines, forming a certain angle in Euclidean four-space, are connected by an analytic continuation in the angular variables. This result could be used to evaluate the high-energy scattering amplitude directly on the lattice.
Keywords
Cite
@article{arxiv.hep-th/9702186,
title = {The analytic continuation of the high-energy quark-quark scattering amplitude},
author = {Enrico Meggiolaro},
journal= {arXiv preprint arXiv:hep-th/9702186},
year = {2011}
}
Comments
14 pages, LaTeX file. This is a revised and more concise version: some errors in the formulae have been corrected