PIRSA:11080058

N=1 SQCD and the Transverse Field Ising Model

Simmons-Duffin, D. (2011). N=1 SQCD and the Transverse Field Ising Model. Perimeter Institute. https://pirsa.org/11080058

Simmons-Duffin, David. N=1 SQCD and the Transverse Field Ising Model. Perimeter Institute, Aug. 19, 2011, https://pirsa.org/11080058 

          @misc{ pirsa_PIRSA:11080058,
            doi = {10.48660/11080058},
            url = {https://pirsa.org/11080058},
            author = {Simmons-Duffin, David},
            keywords = {},
            language = {en},
            title = {N=1 SQCD and the Transverse Field Ising Model},
            publisher = {Perimeter Institute},
            year = {2011},
            month = {aug},
            note = {PIRSA:11080058 see, \url{https://pirsa.org}}
          }

David Simmons-Duffin Institute for Advanced Study (IAS)

DOI 10.48660/11080058
Collection
Talk Type Conference

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.