Abstract

We propose a form factor approach for the computation of the large distance asymptoticbehavior of correlation functions in quantum critical (integrable) models. In the largedistance regime we reduce the summation over all excited states to one over theparticle/hole excitations lying on the Fermi surface in the thermodynamic limit. Wecompute these sums, over the so-called critical form factors, exactly. Thus we obtain theleading large distance behavior of each oscillating harmonic of the correlation functionasymptotic expansion, including the corresponding amplitudes. Our method is applicable toa wide variety of integrable models and yields precisely the results stemming from theLuttinger liquid approach, the conformal field theory predictions and our previous analysisof the correlation functions from their multiple-integral representations. We argue that ourscheme applies to a general class of non-integrable quantum critical models aswell.

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