%0 Journal Article %T A topological invariant of RG flows in 2D integrable quantum field theories %A R. Caracciolo %A F. Gliozzi %A R. Tateo %J Physics %D 1999 %I arXiv %R 10.1142/S0217979299002757 %X We construct a topological invariant of the renormalization group trajectories of a large class of 2D quantum integrable models, described by the thermodynamic Bethe ansatz approach. A geometrical description of this invariant in terms of triangulations of three-dimensional manifolds is proposed and associated dilogarithm identities are proven. %U http://arxiv.org/abs/hep-th/9902094v2