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Title: Double-trace deformations of conformal correlations

Abstract

Large N conformal field theories often admit unitary renormalization group flows triggered by double-trace deformations. We compute the change in scalar four-point functions under double-trace flow, to leading order in 1/ N. This has a simple dual in AdS, where the flow is implemented by a change of boundary conditions, and provides a physical interpretation of single-valued conformal partial waves. We extract the change in the conformal dimensions and three-point coefficients of infinite families of double-trace composite operators. Some of these quantities are found to be sign-definite under double-trace flow. As an application, we derive anomalous dimensions of spinning double-trace operators comprised of non-singlet constituents in the O( N) vector model.

Authors:
 [1];  [2];  [3]
  1. Princeton Univ., Princeton, NJ (United States). Dept. of Physics
  2. Princeton Univ., Princeton, NJ (United States). Dept. of Physics; Inst. of Theoretical and Experimental Physics (ITEP), Moscow (Russian Federation)
  3. Princeton Univ., Princeton, NJ (United States). Dept. of Physics; California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
Publication Date:
Research Org.:
Princeton Univ., NJ (United States); California Inst. of Tech., Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1507423
Grant/Contract Number:  
FG02-91ER40671; SC0011632; PHY-1620542; 488657
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 2; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 1/N Expansion; AdS-CFT Correspondence; Conformal Field Theory; Field Theories in Higher Dimensions

Citation Formats

Giombi, Simone, Kirilin, Vladimir, and Perlmutter, Eric. Double-trace deformations of conformal correlations. United States: N. p., 2018. Web. doi:10.1007/jhep02(2018)175.
Giombi, Simone, Kirilin, Vladimir, & Perlmutter, Eric. Double-trace deformations of conformal correlations. United States. doi:10.1007/jhep02(2018)175.
Giombi, Simone, Kirilin, Vladimir, and Perlmutter, Eric. Wed . "Double-trace deformations of conformal correlations". United States. doi:10.1007/jhep02(2018)175. https://www.osti.gov/servlets/purl/1507423.
@article{osti_1507423,
title = {Double-trace deformations of conformal correlations},
author = {Giombi, Simone and Kirilin, Vladimir and Perlmutter, Eric},
abstractNote = {Large N conformal field theories often admit unitary renormalization group flows triggered by double-trace deformations. We compute the change in scalar four-point functions under double-trace flow, to leading order in 1/N. This has a simple dual in AdS, where the flow is implemented by a change of boundary conditions, and provides a physical interpretation of single-valued conformal partial waves. We extract the change in the conformal dimensions and three-point coefficients of infinite families of double-trace composite operators. Some of these quantities are found to be sign-definite under double-trace flow. As an application, we derive anomalous dimensions of spinning double-trace operators comprised of non-singlet constituents in the O(N) vector model.},
doi = {10.1007/jhep02(2018)175},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2018,
place = {United States},
year = {2018},
month = {2}
}

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