Published February 2012
| Submitted + Published
Journal Article
Open
N = 1 SQCD and the transverse field Ising model
- Creators
- Poland, David
- Simmons-Duffin, David
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.
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.Attached Files
Published - 10.1007_2FJHEP02_2012_009.pdf
Submitted - 1104.1425.pdf
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1104.1425.pdf
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Additional details
- Eprint ID
- 80416
- Resolver ID
- CaltechAUTHORS:20170815-104135691
- Harvard Center for the Fundamental Laws of Nature
- PHY-0556111
- NSF
- Created
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2017-08-16Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field