Loops in AdS: from the spectral representation to position space. Part II
Dean Carmi
Abstract
A bstract We continue the study of AdS loop amplitudes in the spectral representation and in position space. We compute the finite coupling 4-point function in position space for the large- N conformal Gross Neveu model on AdS 3 . The resummation of loop bubble diagrams gives a result proportional to a tree-level contact diagram. We show that certain families of fermionic Witten diagrams can be easily computed from their companion scalar diagrams. Thus, many of the results and identities of [1] are extended to the case of external fermions. We derive a spectral representation for ladder diagrams in AdS. Finally, we compute various bulk 2-point correlators, extending the results of [1].
Topics & Concepts
ResummationScalar (mathematics)Position (finance)Representation (politics)DiagramConformal mapSpace (punctuation)Loop (graph theory)PhysicsFermionPoint (geometry)Theoretical physicsMathematicsMathematical analysisGeometryQuantum mechanicsCombinatoricsComputer scienceQuantum chromodynamicsPolitical scienceStatisticsPoliticsFinanceEconomicsOperating systemLawBlack Holes and Theoretical PhysicsQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studies