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Caltech

High Energy Theory Seminar

Friday, May 12, 2023
1:00pm to 2:00pm
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Online and In-Person Event
Instanton Operator in Lattice QCD from Higher Category Theory
Jingyuan Chen, Tsinghua University,

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.