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Title: Holographic trace anomaly and local renormalization group

Abstract

The Hamilton-Jacobi method in holography has produced important results both at a renormalization group (RG) fixed point and away from it. In this paper we use the Hamilton-Jacobi method to compute the holographic trace anomaly for four- and six-dimensional boundary conformal field theories (CFTs), assuming higher-derivative gravity and interactions of scalar fields in the bulk. The scalar field contributions to the anomaly appear in CFTs with exactly marginal operators. Moving away from the fixed point, we show that the Hamilton-Jacobi formalism provides a deep connection between the holographic and the local RG. We derive the local RG equation holographically, and verify explicitly that it satisfies Weyl consistency conditions stemming from the commutativity of Weyl scalings. We also consider massive scalar fields in the bulk corresponding to boundary relevant operators, and comment on their effects to the local RG equation.

Authors:
 [1];  [2];  [3]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
  2. Yale Univ., New Haven, CT (United States). Dept. of Physics
  3. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Yale Univ., New Haven, CT (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); US Army Research Office (ARO)
OSTI Identifier:
1466645
Grant/Contract Number:  
FG02-05ER41360; 1066293; 1350180; W911NF-12-0486
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Volume: 2015; Journal Issue: 11; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; renormalization group; AdS-CFT correspondence

Citation Formats

Rajagopal, Srivatsan, Stergiou, Andreas, and Zhu, Yechao. Holographic trace anomaly and local renormalization group. United States: N. p., 2015. Web. doi:10.1007/JHEP11(2015)216.
Rajagopal, Srivatsan, Stergiou, Andreas, & Zhu, Yechao. Holographic trace anomaly and local renormalization group. United States. https://doi.org/10.1007/JHEP11(2015)216
Rajagopal, Srivatsan, Stergiou, Andreas, and Zhu, Yechao. 2015. "Holographic trace anomaly and local renormalization group". United States. https://doi.org/10.1007/JHEP11(2015)216. https://www.osti.gov/servlets/purl/1466645.
@article{osti_1466645,
title = {Holographic trace anomaly and local renormalization group},
author = {Rajagopal, Srivatsan and Stergiou, Andreas and Zhu, Yechao},
abstractNote = {The Hamilton-Jacobi method in holography has produced important results both at a renormalization group (RG) fixed point and away from it. In this paper we use the Hamilton-Jacobi method to compute the holographic trace anomaly for four- and six-dimensional boundary conformal field theories (CFTs), assuming higher-derivative gravity and interactions of scalar fields in the bulk. The scalar field contributions to the anomaly appear in CFTs with exactly marginal operators. Moving away from the fixed point, we show that the Hamilton-Jacobi formalism provides a deep connection between the holographic and the local RG. We derive the local RG equation holographically, and verify explicitly that it satisfies Weyl consistency conditions stemming from the commutativity of Weyl scalings. We also consider massive scalar fields in the bulk corresponding to boundary relevant operators, and comment on their effects to the local RG equation.},
doi = {10.1007/JHEP11(2015)216},
url = {https://www.osti.gov/biblio/1466645}, journal = {Journal of High Energy Physics (Online)},
issn = {1029-8479},
number = 11,
volume = 2015,
place = {United States},
year = {Mon Nov 30 00:00:00 EST 2015},
month = {Mon Nov 30 00:00:00 EST 2015}
}

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Works referencing / citing this record:

Holographic Weyl anomaly for GJMS operators: one Laplacian to rule them all
journal, February 2019