Loops in AdS: from the spectral representation to position space. Part II

被引:16
|
作者
Carmi, Dean [1 ]
机构
[1] Univ Haifa, Haifa Res Ctr Theoret Phys & Astrophys, 199 Aba Khoushy Ave Mt Carmel, Haifa, Israel
关键词
Conformal Field Theory; Effective Field Theories; 4-FERMION INTERACTION; SYMMETRY-BREAKING; 4-POINT FUNCTIONS; FIELD-THEORIES; EXCHANGE;
D O I
10.1007/JHEP07(2021)186
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
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].
引用
收藏
页数:33
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