Description
Chiral symmetry breaking in the confining phase of QCD is a well-established phenomenon, yet it has been a challenge to derive this phenomenon from the theoretical viewpoint. In the seminal 1979 Cargese lectures, ’t Hooft showed how to use anomaly matching to prove chiral symmetry breaking, he showed some but didn’t give the general proof. In this talk, I will present a new strategy which can lead to a general proof. If time permits, I will also review the strategies that have been pursed in literature and point out their limitations. This talk is based on the recent papers: hep-th/2212.02930, 2404.02971, 2404.02967.