2020 Impact factor 4.590
Particles and Fields
Eur. Phys. J. C 4, 101-106
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.


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