Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-08-07
Phys.Rev.D78:074510,2008
Physics
High Energy Physics
High Energy Physics - Lattice
Revised version (to be published in Phys. Rev. D) with new comments in section 4, a new figure [Fig. 6], two new references in
Scientific paper
10.1103/PhysRevD.78.074510
In this paper the problem of high-energy hadron-hadron (dipole-dipole) scattering is approached (for the first time) from the point of view of lattice QCD, by means of Monte Carlo numerical simulations. In the first part, we give a brief review of how high-energy scattering amplitudes can be reconstructed, using a functional-integral approach, in terms of certain correlation functions of two Wilson loops and we also briefly recall some relevant analyticity and crossing-symmetry properties of these loop-loop correlation functions, when going from Euclidean to Minkowskian theory. In the second part, we shall see how these (Euclidean) loop-loop correlation functions can be evaluated in lattice QCD and we shall compare our numerical results with some nonperturbative analytical estimates that appeared in the literature, discussing in particular the question of the analytic continuation from Euclidean to Minkowskian theory and its relation to the still unsolved problem of the asymptotic s-dependence of the hadron-hadron total cross sections.
Giordano Matteo
Meggiolaro Enrico
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