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N = 1 SQCD and the transverse field Ising model

Poland, David and Simmons-Duffin, David (2012) N = 1 SQCD and the transverse field Ising model. Journal of High Energy Physics, 2012 (2). Art. No. 009. ISSN 1029-8479. https://resolver.caltech.edu/CaltechAUTHORS:20170815-104135691

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Abstract

We study the dimensions of non-chiral operators in the Veneziano limit of N = 1 supersymmetric QCD in the conformal window. We show that when acting on gauge-invariant operators built out of scalars, the 1-loop dilatation operator is equivalent to the spin chain Hamiltonian of the 1D Ising model in a transverse magnetic field, which is a nontrivial integrable system that is exactly solvable at finite length. Solutions with periodic boundary conditions give the anomalous dimensions of flavor-singlet operators and solutions with fixed boundary conditions give the anomalous dimensions of operators whose ends contain open flavor indices.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/JHEP02(2012)009DOIArticle
https://arxiv.org/abs/1104.1425arXivDiscussion Paper
ORCID:
AuthorORCID
Poland, David0000-0003-3854-2430
Simmons-Duffin, David0000-0002-2937-9515
Additional Information:© 2012 SISSA, Trieste, Italy. First Online: 06 February 2012. We would like to thank Clay Córdova, Sean Hartnoll, and Xi Yin for helpful comments and conversations. This work is supported in part by the Harvard Center for the Fundamental Laws of Nature and by NSF grant PHY-0556111.
Funders:
Funding AgencyGrant Number
Harvard Center for the Fundamental Laws of NatureUNSPECIFIED
NSFPHY-0556111
Subject Keywords:Supersymmetric gauge theory, Integrable Field Theories
Issue or Number:2
Record Number:CaltechAUTHORS:20170815-104135691
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170815-104135691
Official Citation:Poland, D. & Simmons-Duffin, D. J. High Energ. Phys. (2012) 2012: 9. https://doi.org/10.1007/JHEP02(2012)009
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80416
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:16 Aug 2017 22:26
Last Modified:20 Nov 2020 20:03

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