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Published November 15, 2013 | Published
Journal Article Open

Holographic interpretation of renormalization group approach to singular perturbations in nonlinear differential equations

Nakayama, Yu

Abstract

We give a holographic explanation of how the renormalization group approach to singular perturbations in nonlinear differential equations proposed by Chen, Goldenfeld, and Oono is indeed equivalent to a renormalization group method in quantum field theories proposed by Gell-Mann and Low via AdS/CFT correspondence.

Additional Information

Received 29 May 2013; published 7 November 2013. © 2013 American Physical Society PACS numbers: 11.10.Hi, 11.25.Tq. We would like to thank Z. Chacko for his beautiful lecture and related discussions which stimulated this study. This work is supported by Sherman Fairchild Senior Research Fellowship at California Institute of Technology and DOE Grant No. DE-FG02-92ER40701.

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Published - PhysRevD.88.105006.pdf

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