Structure functions at small x_Bj in a Euclidean field theory approach

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dc.creatorHebecker, A.
dc.creatorMeggiolaro, E.
dc.creatorNachtmann, O.
dc.date1999-09-15
dc.date.accessioned2026-07-07T12:44:21Z
dc.date.available2026-07-07T12:44:21Z
dc.descriptionThe 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.
dc.description25 pages, LaTeX file (including 6 eps-figures)
dc.identifierhttps://arxiv.org/abs/hep-ph/9909381
dc.identifierhttp://arxiv.org/abs/hep-ph/9909381
dc.identifierNucl.Phys.B571:26-50,2000
dc.identifierdoi:10.1016/S0550-3213(99)00767-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220739
dc.subjectHigh Energy Physics - Phenomenology
dc.titleStructure functions at small x_Bj in a Euclidean field theory approach
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