N=1 SQCD and the Transverse Field Ising Model
APA
Simmons-Duffin, D. (2011). N=1 SQCD and the Transverse Field Ising Model. Perimeter Institute. https://pirsa.org/11080058
MLA
Simmons-Duffin, David. N=1 SQCD and the Transverse Field Ising Model. Perimeter Institute, Aug. 19, 2011, https://pirsa.org/11080058
BibTex
@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}} }
Institute for Advanced Study (IAS)
Collection
Talk Type
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.