N = 1 SQCD and the Transverse Field Ising Model
نویسنده
چکیده
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 gaugeinvariant 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. ar X iv :1 10 4. 14 25 v1 [ he pth ] 7 A pr 2 01 1
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