DOI 10.1007/s100529800749
The analytic continuation of the high-energy quark-quark scattering amplitude
Enrico Meggiolaro1,2
1 Dipartimento di Fisica, Università di Pisa, I-56100 Pisa, Italy
2 INFN, Sezione di Pisa, I-56100 Pisa, Italy
Received: 18 April 1997 / Revised version: 27 August 1997/ Published online: 20 February 1998
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.
Copyright Springer-Verlag
