Fabrizio Zanello

The goal of the talk is to show that the higher currents of the sine-Gordon model are renormalizable by finite renormalization in the framework of pAQFT. First we consider the classical sine-Gordon model and use techniques from the theory of integrable systems to obtain closed recursive formulas for the conserved currents. We then move to the pAQFT setting and perform what we call the piecewise renormalization of the interacting currents, namely the renormalization of the elementary parts of the unrenormalized expressions separately. Finally we prove that reassembling the piecewise renormalized elementary parts all together produces a well-defined result.