Integrable field theories with an interacting massless sector
Michael C. Abbott, Inês Aniceto
Abstract
We present the first known integrable relativistic field theories with interacting massive and massless sectors, and we demonstrate that knowledge of the massless sector is essential for understanding of the spectrum of the massive sector. Terms in this spectrum polynomial in the spatial volume (the accuracy for which the Bethe ansatz would suffice in a massive theory) require not just L\"uscher-like corrections (usually exponentially small) but the full Thermodynamic Bethe Ansatz (TBA) integral equations. We are motivated by the implications of these ideas for $\mathrm{AdS}/\mathrm{CFT}$, but present here only field-theory results.
Topics & Concepts
Bethe ansatzMassless particleIntegrable systemMathematical physicsSpectrum (functional analysis)PhysicsField (mathematics)Field theory (psychology)AnsatzQuantum field theoryTheoretical physicsMathematicsQuantum mechanicsPure mathematicsBlack Holes and Theoretical PhysicsQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studies