N=1 SQCD and the Transverse Field Ising Model
High Energy Physics - Theory
2015-03-19 v1
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.
Keywords
Cite
@article{arxiv.1104.1425,
title = {N=1 SQCD and the Transverse Field Ising Model},
author = {David Poland and David Simmons-Duffin},
journal= {arXiv preprint arXiv:1104.1425},
year = {2015}
}
Comments
17 pages, 2 figures