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タイトル: Path-integral complexity for perturbed CFTs
著者: Bhattacharyya, Arpan
Caputa, Pawel
Das, Sumit R.
Kundu, Nilay
Miyaji, Masamichi
Takayanagi, Tadashi  kyouindb  KAKEN_id
著者名の別形: 髙柳, 匡
キーワード: AdS-CFT Correspondence
Renormalization Group
Conformal Field Theory
発行日: Jul-2018
出版者: Springer Nature
誌名: Journal of High Energy Physics
巻: 2018
論文番号: 86
抄録: In this work, we formulate a path-integral optimization for two dimensional conformal field theories perturbed by relevant operators. We present several evidences how this optimization mechanism works, based on calculations in free field theories as well as general arguments of RG flows in field theories. Our optimization is performed by minimizing the path-integral complexity functional that depends on the metric and also on the relevant couplings. Then, we compute the optimal metric perturbatively and find that it agrees with the time slice of the hyperbolic metric perturbed by a scalar field in the AdS/CFT correspondence. Last but not the least, we estimate contributions to complexity from relevant perturbations.
著作権等: © The Author(s) 2018. 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.
URI: http://hdl.handle.net/2433/236102
DOI(出版社版): 10.1007/JHEP07(2018)086
出現コレクション:学術雑誌掲載論文等

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