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Loops in AdS: from the spectral representation to position space. Part II
Journal of High Energy Physics ( IF 5.4 ) Pub Date : 2021-07-23 , DOI: 10.1007/jhep07(2021)186
Dean Carmi 1
Affiliation  

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 AdS3. 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].

A preprint version of the article is available at ArXiv.


中文翻译:

AdS 中的循环:从频谱表示到位置空间。第二部分

我们继续研究频谱表示和位置空间中的 AdS 环路幅度。我们为AdS 3上的大N共形 Gross Neveu 模型计算位置空间中的有限耦合 4 点函数。循环气泡图的求和给出与树级接触图成比例的结果。我们表明,可以从它们的伴随标量图轻松计算某些费米子 Witten 图系列。因此,[1] 的许多结果和恒等式扩展到外部费米子的情况。我们推导出 AdS 中梯形图的频谱表示。最后,我们计算了各种批量 2 点相关器,扩展了 [1] 的结果。

该文章的预印版可在 ArXiv 上获得。
更新日期:2021-07-24
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