Speaker
Description
Lattice fermions are now highly successful in describing dynamical degrees of freedom in gauge theories, in particular for precise predictions on the hadron spectra or muon anomalous magnetic moment. Yet chiral gauge theories are still at the frontier. So far, the only ideas about dynamics of chiral gauge theories have been the tumbling hypothesis, which postulates the non-perturbative dynamics of a chiral gauge theory keeps breaking itself until it becomes vector-like, a rather strange conjecture. I propose a new methodology to exactly and analytically solve the dynamics of gauge theories by first studying the supersymmetric versions, and breaking supersymmetry slightly by anomaly mediation. I demonstrate evidence that the gauge theory dynamics with slightly broken supersymmetry and no supersymmetry are continuously connected with the same universality class in many cases. Based on this method, chiral gauge theories show different dynamics from the tumbling hypothesis. I hope further developments on lattice fermions will determine which hypothesis is correct.