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Local renormalization group functions from quantum renormalization group and holographic bulk locality

Nakayama, Yu (2015) Local renormalization group functions from quantum renormalization group and holographic bulk locality. Journal of High Energy Physics, 2015 (6). Art. No. 092. ISSN 1126-6708. doi:10.1007/JHEP06(2015)092.

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The bulk locality in the constructive holographic renormalization group requires miraculous cancellations among various local renormalization group functions. The cancellation is not only from the properties of the spectrum but from more detailed aspects of operator product expansions in relation to conformal anomaly. It is remarkable that one-loop computation of the universal local renormalization group functions in the weakly coupled limit of the N=4 super Yang-Mills theory fulfils the necessary condition for the cancellation in the strongly coupled limit in its SL(2,Z) duality invariant form. From the consistency between the quantum renormalization group and the holographic renormalization group, we determine some unexplored local renormalization group functions (e.g. diffusive term in the beta function for the gauge coupling constant) in the strongly coupled limit of the planar N=4 super Yang-Mills theory.

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Additional Information:© 2015 The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: April 14, 2015. Accepted: May 20, 2015. Published: June 16, 2015. I would like to thank S. S. Lee and S. Solodukhin for the discussions and correspondence. I also would like to thank the organizers of “Holographic Renormalization Group and Entanglement” at APC Paris for the invitation and the stimulating atmosphere I enjoyed very much. This work is supported by Sherman Fairchild Senior Research Fellowship at California Institute of Technology and DOE grant number DE-SC0011632. After the appearance of the first version of the paper on the arxiv, we had fruitful discussions with P. Horava, H. Osborn, and A. Tseytlin.
Group:Walter Burke Institute for Theoretical Physics
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Caltech Sherman Fairchild Senior Research FellowshipUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Subject Keywords:Gauge-gravity correspondence, AdS-CFT Correspondence, Renormalization Group, 1/N Expansion
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Issue or Number:6
Record Number:CaltechAUTHORS:20150316-162033695
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Official Citation: Local renormalization group functions from quantum renormalization group and holographic bulk locality Yu Nakayama Article:92
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:55820
Deposited By: Joy Painter
Deposited On:16 Mar 2015 23:43
Last Modified:10 Nov 2021 20:50

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