Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

The Plaquette Random Cluster Model and Potts Lattice Gauge Theory

Institute for Pure & Applied Mathematics (IPAM) via YouTube

Overview

Explore a conference talk on the Plaquette Random Cluster Model and Potts Lattice Gauge Theory presented by Benjamin Schweinhart from George Mason University. Delve into the proof of a sharp phase transition in Wilson loop expectations within (d-2)-dimensional Potts lattice gauge theory on Zd, transitioning from an area law to a perimeter law. Discover how the random cluster model and its coupling with the Potts model are generalized to higher dimensions, resulting in a cell complex representation of Potts lattice gauge theory. Understand how this representation allows Wilson loop expectations to be interpreted as probabilities of loops being "bounded by a surface of plaquettes," a concept clarified through homology theory. Gain insights into this collaborative research with Paul Duncan, presented at IPAM's Statistical Mechanics Beyond 2D Workshop.

Syllabus

Benjamin Schweinhart - The Plaquette Random Cluster Model and Potts Lattice Gauge Theory

Taught by

Institute for Pure & Applied Mathematics (IPAM)

Reviews

Start your review of The Plaquette Random Cluster Model and Potts Lattice Gauge Theory

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.