Exact mass-coupling relation for the homogeneous sine-Gordon model

Abstract

We derive the exact mass-coupling relation of the simplest multi-scale 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 $\Theta$ sum rule Ward identity. The mass-coupling relation is written in terms of hypergeometric functions.

6 pages, 2 figures. (v2) references and clarifications added; original title "Exact mass-coupling relation of the simplest multi-scale quantum integrable model" changed for journal

References in corpus (1)

• Gluon scattering amplitudes at strong coupling

Cited by in corpus (8)

• Integrable Field Theories with an Interacting Massless Sector
• On the mass-coupling relation of multi-scale quantum integrable models
• On the Hydrodynamics of Unstable Excitations
• MHV amplitudes at strong coupling and linearized TBA equations
• OPE coefficients and the mass-gap from the integrable scattering description of 2D CFT's
• Generalised Hydrodynamics of Particle Creation and Decay
• Tails of Instability and Decay: a Hydrodynamic Perspective
• Entanglement of Stationary States in the Presence of Unstable Quasiparticles