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Junior GST
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Charlie Reid, PMA 9.166: The Dimer and Ising Models in Two Dimensions
Monday, September 12, 2022, 12:00pm - 01:00pm
There are 12,988,816 Ways to tile a chess board with dominoes. More impressively, there is a relatively simple formula for this number. More relevantly to our seminar, this number is the partition function of a two dimensional statistical mechanics model called a Dimer Model. In this talk we will introduce the Dimer Model, and another more famous lattice model called the Ising model, show an equivalence between them, and use Kasteleyn's formula to learn about correlation functions. Most importantly, we will introduce some fundamental concepts in quantum field theory through the example of these lattice models.
Location: PMA 9.166

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