Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-09-15
Nucl.Phys.B571:26-50,2000
Physics
High Energy Physics
High Energy Physics - Phenomenology
25 pages, LaTeX file (including 6 eps-figures)
Scientific paper
10.1016/S0550-3213(99)00767-1
The small-x_Bj limit of deep inelastic scattering is related to the high-energy limit of the forward Compton amplitude in a familiar way. We show that the analytic continuation of this amplitude in the energy variable is calculable from a matrix element in Euclidean field theory. This matrix element can be written as a Euclidean functional integral in an effective field theory. Its effective Lagrangian has a simple expression in terms of the original Lagrangian. The functional integral expression obtained can, at least in principle, be evaluated using genuinely non-perturbative methods, e.g., on the lattice. Thus, a fundamentally new approach to the long-standing problem of structure functions at very small x_Bj seems possible. We give arguments that the limit x_Bj -> 0 corresponds to a critical point of the effective field theory where the correlation length becomes infinite in one direction.
Hebecker Arthur
Meggiolaro Enrico
Nachtmann Otto
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