N=1 SQCD and the Transverse Field Ising Model

Note: 12:30 PM
Speaker: David Simmons-Duffin, Harvard University

When: April 11, 2011 (Mon), 12:30PM to 01:30PM (add to my calendar)
Location: PRB 595

This event is part of the HET Seminar Series.

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.