Student Probability

Abstract: I will continue on from last week's talk, where we discussed the paper "Wilson loop expectations in lattice gauge theories with finite gauge groups" (Sky Cao, Comm. Math. Phys., 2020). In particular, I will review the definitions from last week, derive the discrete Stokes' theorem, and…

Abstract:

I will begin to present the proof of the main result in "Wilson loop expectations in lattice gauge theories with finite gauge groups" (Sky Cao, Comm. Math. Phys., 2020).

Abstract: 

I will cover Sourav's survey with the same name, including the idea of a Euclidean Yang-Mills theory and how we hope to attain such a theory by approximating with lattice YM. I will also briefly discuss Wilson loops and their physical significance.

Abstract

In this talk, I will give a brief overview of the physical motivations of Yang-Mills Theories. On a non-rigorous level, this will entail some discussion of the path integral and Quantum Electro Dynamics.

Abstract: In this talk, I will give a brief overview of the physical motivations of Yang-Mills Theories. On a non-rigorous level, this will entail some discussion of the path integral and Quantum Electro Dynamics.

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Abstract

Abstract:

Discrete (resp. Brownian) loop soups are random collections of loops on graphs (resp. in the continuum) defined as Poisson point processes with the intensity measure given by what is known as the discrete (resp. Brownian) loop soup measure. In the discrete setting, we will…