Topological Fluctuations and Mass Gap of Yang-Mills Theory

by Dr Jun Nian (Institut des Hautes Etudes Scientifiques (France))

Wednesday 28 Sept 2016, 14:15 → 15:15 Europe/Berlin

Main-2-313 (MPI Meeting rooms)

The Yang-Mills mass gap is a long-standing problem in theoretical physics, and many attempts have been made in order to address this problem. In this talk, I will present our recent work on the quantum Yang-Mills theory in the 3- and 4-dimensional Euclidean spaces, which may provide us with some new ideas and help us understand the vacuum structure of quantum Yang-Mills theory. In the first half of the talk, I will discuss a new way of finding the classical solutions to Yang-Mills theory with nontrivial topologies. Based on this discussion, in the second half we will see that some symmetry-allowed fluctuations can be turned on, which eventually leads to a new perspective of the vacuum structure of quantum Yang-Mills theory and can possibly help us resolve the mass gap problem. This talk is based the joint work 1605.08425 with Y. Qian.