Flow equation for the large N scalar model and induced geometries
| Autor: | Sinya Aoki, Tetsuya Onogi, Peter Weisz, Janos Balog |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
High Energy Physics - Theory
Infrared Scalar (mathematics) General Physics and Astronomy FOS: Physical sciences medicine.disease_cause 01 natural sciences Induced metric B37 Various models of field theory High Energy Physics - Lattice Quantum mechanics 0103 physical sciences Euclidean geometry medicine 010306 general physics Mathematical physics Physics 010308 nuclear & particles physics B32 Renormalization and renormalization group equation High Energy Physics - Lattice (hep-lat) B30 General B35 Solitons monopoles and instantons 1/N expansion Flow direction Flow field High Energy Physics - Theory (hep-th) Balanced flow Ultraviolet |
| Zdroj: | Progress of Theoretical and Experimental Physics |
| Popis: | We study the proposal that a $d+1$ dimensional induced metric is constructed from a $d$ dimensional field theory using gradient flow. Applying the idea to the O($N$) $\varphi^4$ model and normalizing the flow field, we have shown in the large $N$ limit that the induced metric is finite and universal in the sense that it does not depend on the details of the flow equation and the original field theory except for the renormalized mass, which is the only relevant quantity in this limit. We have found that the induced metric describes Euclidean Anti-de-Sitter (AdS) space in both ultra-violet (UV) and infra-red (IR) limits of the flow direction, where the radius of the AdS is bigger in the IR than in the UV. Comment: 21 pages, 2 figures. We dedicate this work to the memory of Peter Hasenfratz. The revised version for the publication of PTEP |
| Databáze: | OpenAIRE |
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