Bootstrapping the a-anomaly in 4d QFTs
Denis Karateev, Jan Marucha, João Penedones, Biswajit Sahoo
Abstract
A bstract We study gapped 4d quantum field theories (QFTs) obtained from a relevant deformation of a UV conformal field theory (CFT). For simplicity, we assume the existence of a ℤ 2 symmetry and a single ℤ 2 -odd stable particle and no ℤ 2 -even particles at low energies. Using unitarity, crossing and the assumption of maximal analyticity we compute numerically a lower bound on the value of the a -anomaly of the UV CFT as a function of various non-perturbative parameters describing the two-to-two scattering amplitude of the particle.
Topics & Concepts
PhysicsUnitarityConformal mapQuantum field theoryScattering amplitudeCrossingMathematical physicsField (mathematics)Anomaly (physics)Field theory (psychology)Symmetry (geometry)Function (biology)AmplitudeTheoretical physicsQuantum mechanicsPure mathematicsMathematical analysisEvolutionary biologyBiologyMathematicsGeometryBlack Holes and Theoretical PhysicsQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studies