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University of Cambridge > Talks.cam > Probability > Wilson loop expectations as sums over surfaces in 2D

## Wilson loop expectations as sums over surfaces in 2DAdd to your list(s) Download to your calendar using vCal - Minjae Park (MIT)
- Tuesday 15 June 2021, 16:00-17:00
- Zoom.
If you have a question about this talk, please contact Jason Miller. Although lattice Yang-Mills theory on ℤᵈ is easy to rigorously define, the construction of a satisfactory continuum theory on ℝᵈ is a major open problem when d ≥ 3. Such a theory should assign a Wilson loop expectation to each suitable collection ℒ of loops in ℝᵈ. One classical approach is to try to represent this expectation as a sum over surfaces with boundary ℒ. There are some formal/heuristic ways to make sense of this notion, but they typically yield an ill-defined difference of infinities. In this talk, we show how to make sense of Yang-Mills integrals as surface sums for d=2, where the continuum theory is already understood. We also obtain an alternative proof of the Makeenko-Migdal equation and generalized Lévy’s formula. Joint work with Joshua Pfeffer, Scott Sheffield, and Pu Yu. This talk is part of the Probability series. ## This talk is included in these lists:- All CMS events
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