Abstract
By properly treating the path integral over the boundary value of the Liouville field (associated with reparametrizations of the boundary contour) in open string theory, we derive consistent off-shell scattering amplitudes in d = 26 dimensions. In d < 26 we consider a recently proposed boundary ansatz which reproduces a semi classical correction to the classical string (known as the Lüscher term) and obtain in t he semiclassical approximation a linear Regge trajectory with the intercept (d − 2)/24. We associate it with the quark-antiquark Regge trajectory in large-N QCD and explain why it dominates over perturbative QCD when t > −few GeV2.
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