Kink scaling functions in 2D non-integrable quantum field theories

We determine the semiclassical energy levels for the ϕ4ϕ4 field theory in the broken symmetry phase on a 2D cylindrical geometry with antiperiodic boundary conditions by quantizing the appropriate finite-volume kink solutions. The analytic form of the kink scaling functions for arbitrary size of the system allows us to describe the flow between the twisted sector of c=1c=1 CFT in the UV region and the massive particles in the IR limit. Kink-creating operators are shown to correspond in the UV limit to disorder fields of the c=1c=1 CFT. The problem of the finite-volume spectrum for generic 2D Landau–Ginzburg models is also discussed.