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arXiv · hep-th/9702186

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

Enrico Meggiolaro
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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.

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Enrico Meggiolaro. 1997-04-21. The analytic continuation of the high-energy quark-quark scattering amplitude. https://doi.org/10.1007/s100520050189

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