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 in QCD-like theories, he showed some examples but didn’t give the fully general proof. In this talk, I will present a new strategy which leads 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

Biography

Ling-Xiao Xu is currently a postdoc fellow at Abdus Salam International Centre for Theoretical Physics (ICTP) Trieste. Before this he was a postdoc at University of Padova and INFN. He received his Ph.D. from Peking University in 2021. He is interested in physics beyond the Standard Model and application of symmetries and anomalies in understanding better nonperturbative QFT.  

Inviter

Jiang-Hao Yu