Near-conformal dynamics at large charge
Domenico Orlando, Susanne Reffert, Francesco Sannino
Abstract
We investigate four-dimensional near-conformal dynamics by means of the large-charge limit. We first introduce and justify the formalism in which near-conformal invariance is insured by adding a dilaton and then determine the large-charge spectrum of the theory. The dilaton can also be viewed as the radial mode of the effective field theory. We calculate the two-point functions of charged operators. We discover that the mass of the dilaton, parametrizing the near-breaking of conformal invariance, induces a novel term that is logarithmic in the charge. One can therefore employ the large-charge limit to explore near-conformal dynamics and determine dilaton-related properties.
Topics & Concepts
DilatonConformal mapConformal symmetryPhysicsCharge (physics)Point particleLogarithmLimit (mathematics)Conformal field theoryCentral chargeQuantum electrodynamicsConformal anomalyFormalism (music)Mathematical physicsClassical mechanicsQuantum mechanicsMathematicsMathematical analysisVisual artsMusicalArtBlack Holes and Theoretical PhysicsQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studies