Emergent geometry in recursive renormalization group transformations
Holographic duality conjecture has been proposed to be a novel non-perturbative theoretical framework for the description of strongly correlated electrons. However, the duality transformation is not specified to cause ambiguity in the application of this theoretical machinery to condensed matter phy...
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| Format: | Article |
| Language: | English |
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Elsevier
2020-10-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321320302303 |
| _version_ | 1818995814703300608 |
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| author | Ki-Seok Kim |
| author_facet | Ki-Seok Kim |
| author_sort | Ki-Seok Kim |
| collection | DOAJ |
| description | Holographic duality conjecture has been proposed to be a novel non-perturbative theoretical framework for the description of strongly correlated electrons. However, the duality transformation is not specified to cause ambiguity in the application of this theoretical machinery to condensed matter physics. In this study, we propose a prescription for the holographic duality transformation. Based on recursive renormalization group (RG) transformations, we obtain an effective field theory, which manifests the RG flow of an effective action through the introduction of an extra dimension. Resorting to this prescription, we show that RG equations of all coupling constants are reformulated as emergent geometry with an extra dimension. We claim that the present prescription serves as microscopic foundation for the application of the holographic duality conjecture to condensed matter physics. |
| first_indexed | 2024-12-20T21:19:50Z |
| format | Article |
| id | doaj.art-e12485620f6346e082190d72577bc708 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-20T21:19:50Z |
| publishDate | 2020-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-e12485620f6346e082190d72577bc7082022-12-21T19:26:19ZengElsevierNuclear Physics B0550-32132020-10-01959115144Emergent geometry in recursive renormalization group transformationsKi-Seok Kim0Department of Physics, POSTECH, Pohang, Gyeongbuk 790-784, Republic of KoreaHolographic duality conjecture has been proposed to be a novel non-perturbative theoretical framework for the description of strongly correlated electrons. However, the duality transformation is not specified to cause ambiguity in the application of this theoretical machinery to condensed matter physics. In this study, we propose a prescription for the holographic duality transformation. Based on recursive renormalization group (RG) transformations, we obtain an effective field theory, which manifests the RG flow of an effective action through the introduction of an extra dimension. Resorting to this prescription, we show that RG equations of all coupling constants are reformulated as emergent geometry with an extra dimension. We claim that the present prescription serves as microscopic foundation for the application of the holographic duality conjecture to condensed matter physics.http://www.sciencedirect.com/science/article/pii/S0550321320302303 |
| spellingShingle | Ki-Seok Kim Emergent geometry in recursive renormalization group transformations Nuclear Physics B |
| title | Emergent geometry in recursive renormalization group transformations |
| title_full | Emergent geometry in recursive renormalization group transformations |
| title_fullStr | Emergent geometry in recursive renormalization group transformations |
| title_full_unstemmed | Emergent geometry in recursive renormalization group transformations |
| title_short | Emergent geometry in recursive renormalization group transformations |
| title_sort | emergent geometry in recursive renormalization group transformations |
| url | http://www.sciencedirect.com/science/article/pii/S0550321320302303 |
| work_keys_str_mv | AT kiseokkim emergentgeometryinrecursiverenormalizationgrouptransformations |