Jing-Yuan Chen [NT/RBRC] Explorations from a New Understanding of Lattice QFT

Friday 9 Jan 2026, 11:00 → 13:00 US/Eastern

CFNS Library (https://bnl.zoomgov.com/j/1614715193?pwd=WkwxODVWdzZzb29zQnZRVGp3VTBDQT09)

In recent years I have been developing and promoting a new framework to understand what a lattice QFT “really is” in relation to continuum QFT, based on the mathematical language of higher category theory. Long standing problems in the lattice community——those of unambiguously defining topological operators on the lattice, most notably instanton density in lattice QCD——are solved by refining the traditional models using this language in a natural and necessary manner. (Last March I gave a talk on this at BNL.)

In this talk I will introduce some interesting explorations as we begin to implement these ideas into actual numerics. I will first focus on our new explorations on a previously known refined model: the CP^N model with Villainized U(1) gauge field. I will explain why this refined model can solve the notorious problem of dislocation in topological susceptibility, and how we may benchmark the effectiveness of the ansatz of its action via numerical renormalization. Then, I will discuss how these explorations can help us with our crucial task in the next step——the actual numerical implementation of the categorically refined lattice Yang-Mills theory, with which we might (not sure yet, and hoping for serious discussions) be able to circumvent the notorious problem of topological freezing.