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arXiv · 2104.10500

Loops in AdS: From the Spectral Representation to Position Space II

Dean Carmi
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Abstract

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].

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Dean Carmi. 2021-04-21. Loops in AdS: From the Spectral Representation to Position Space II. https://doi.org/10.1007/jhep07(2021)186

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