High Energy Theory Seminar

A long standing problem in lattice QCD is to construct an explicit instanton density operator on the lattice. We introduce such a construction, after suitably refining the lattice Yang-Mills action, so that it captures the continuum Yang-Mills theory better than the traditional lattice Yang-Mills action does. This refinement needed follows naturally from higher category theory considerations, and in this sense it can be viewed as a generalization of the Villain model familiar in condensed matter physics. More broadly, we sketch a program towards using the power of higher category theory to put a generic continuum quantum field theory, with all of its topological aspects, onto the lattice. 

In person attendees (469 Lauritsen) must have a valid Caltech ID.

Contact [email protected] for Zoom information.