Nonuniqueness of Green’s functions at special points
May 28, 201918 pages
Published in:
- JHEP 12 (2019) 139
- Published: Dec 19, 2019
e-Print:
- 1905.12015 [hep-th]
Report number:
- KEK-TH-2129
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Abstract: (Springer)
We investigate a new property of retarded Green’s functions using AdS/CFT. The Green's functions are not unique at special points in complex momentum space. This arises because there is no unique incoming mode at the horizon and is similar to the “pole skipping” phenomenon in holographic chaos. Our examples include the bulk scalar field, the bulk Maxwell vector and scalar modes, and the shear mode of gravitational perturbations. In these examples, the special points are always located at 𝜔 = –i(2πT) with appropriate values of complex wave number.Note:
- 18 pages, JHEP; v2: added discussion, published version
- Holography and condensed matter physics (AdS/CMT)
- AdS-CFT Correspondence
- Black Holes
- perturbation: gravitation
- field theory: scalar
- field theory: conformal
- AdS/CFT correspondence
- holography
- horizon
- chaos
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