The analytic continuation of the high-energy quark-quark scattering amplitude

Details The analytic continuation of the high-energy quark-quark scattering amplitude The analytic continuation of the high-energy quark-quark scattering amplitude

1997-02-26

arxiv.org/abs/hep-th/9702186v2

Eur.Phys.J.C4:101-106,1998

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX file. This is a revised and more concise version: some errors in the formulae have been corrected

Scientific paper

10.1007/s100520050189

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.

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