New approach to continuous spin models in two and three dimensions

Raghav Jha (Perimeter Institute)

18-May-2022, 01:00-02:00 (22 months ago)

Abstract: We apply tensor network methods to study the famous phase transition in the two-dimensional $O(2)$ model and a generalized version of this model that admits half-integer vortices in addition to the standard integer ones. We then consider the same model in three dimensions and carry out the first tensor study and locate the continuous phase transition. Furthermore, we introduce finite chemical potential and explore the Silver Blaze phenomenon by computing the particle number density. While the addition of chemical potential leads to a non-real action and is not suited for the standard Monte Carlo, it is straightforward to study using tensors and presents itself as a strong contender over other numerical methods.

condensed matterHEP - theory

Audience: researchers in the topic


Numerical Methods in Theoretical Physics

Organizers: Anosh Joseph, Byungmin Kang, Dario Rosa, Masaki Tezuka, Junggi Yoon*
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