title: Exact Mass-Coupling Relation for the Homogeneous Sine-Gordon Model.
abstract: We derive the exact mass-coupling relation of the simplest multiscale quantum integrable model, i.e., the homogeneous sine-Gordon model with two mass scales. The relation is obtained by comparing the perturbed conformal field theory description of the model valid at short distances to the large distance bootstrap description based on the model's integrability. In particular, we find a differential equation for the relation by constructing conserved tensor currents, which satisfy a generalization of the Θ sum rule Ward identity. The mass-coupling relation is written in terms of hypergeometric functions.
authors.affiliation: MTA Lendület Holographic QFT Group, Wigner Research Centre, H-1525 Budapest 114, P.O.B. 49, Hungary.
authors.forename: Zoltán
authors.initials: Z
authors.lastname: Bajnok
authors.affiliation: MTA Lendület Holographic QFT Group, Wigner Research Centre, H-1525 Budapest 114, P.O.B. 49, Hungary.
authors.forename: János
authors.initials: J
authors.lastname: Balog
authors.affiliation: Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551, Japan.
authors.forename: Katsushi
authors.initials: K
authors.lastname: Ito
authors.affiliation: Institute of Physics, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan.
authors.forename: Yuji
authors.initials: Y
authors.lastname: Satoh
authors.affiliation: MTA Lendület Holographic QFT Group, Wigner Research Centre, H-1525 Budapest 114, P.O.B. 49, Hungary.
authors.forename: Gábor Zsolt
authors.initials: GZ
authors.lastname: Tóth