# Avelio Sepúlveda: The vortices of U(1) lattice-gauge theory

Time: Wed 2021-10-13 14.15 - 15.15

Location:

Lecturer: Avelio Sepúlveda (Universidad de Chile)

Joint work with C. Garban. $$U(1)$$ lattice gauge theory is the statistical physics model in $$\mathbb{Z}^4$$ that is relevant to the study of quantum-electrodynamics. Mathematically, it is a model of random angles living on the edges of $$\mathbb{Z}^4$$ with gauge invariance. In this talk, I will explain how to recognize the topological defects of this model. They are defects of this model coming from the fact that the angles live in $$(-\pi,\pi)$$ and not in $$\mathbb{R}$$. Furthermore, I will show that these vortices have a macroscopic effect for any inverse-temperature beta.

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Last changed: Oct 10, 2021