Determining holographic wave functions from Wilsonian renormalization group
We show a possible way to build the AdS/CFT correspondence starting from the quantum field theory side based on renormalization group approach. An extra dimension is naturally introduced in our scheme as the renomalization scale. The holographic wave equations are derived, with the potential term be...
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| Main Authors: | , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
28 Feb 2022
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| In: |
Arxiv
Year: 2022, Pages: 1-5 |
| DOI: | 10.48550/arXiv.2202.13699 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.2202.13699 Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2202.13699 
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| Author Notes: | Fei Gao, Masatoshi Yamada |
| Summary: | We show a possible way to build the AdS/CFT correspondence starting from the quantum field theory side based on renormalization group approach. An extra dimension is naturally introduced in our scheme as the renomalization scale. The holographic wave equations are derived, with the potential term being determined by the QFT properties. We discover that only around the fixed point, i.e. the conformal limit, the potential in the bulk equations can be fully constrained, and upon this foundation, the correspondence is build. We demonstrate this fact using a 3$d$ scalar theory in which, besides the trivial fixed point, there exists the Wilson-Fisher fixed point. From the energy scalings around those fixed points, we determine the behavior of the potential in the bulk equations. |
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| Item Description: | Gesehen am 13.10.2022 |
| Physical Description: | Online Resource |
| DOI: | 10.48550/arXiv.2202.13699 |