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The European Physical Journal C
ISSN: 1434-6044 (printed version)
ISSN: 1434-6052 (electronic version)
Abstract Volume 4 Issue 1 (1998) pp 101-106
DOI 10.1007/s100529800749
theoretical physics:
The analytic continuation of the high-energy quark-quark scattering amplitude
Enrico Meggiolaro (1)(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
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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Online publication: June 10, 1998
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