Starts 26 Sep 2019 10:00
Ends 26 Sep 2019 11:00
Central European Time
Search
Search in Conferences:
Joint ICTP/SISSA Statistical Physics Seminar: Continuum Field Theory for the Ising Model
SISSA, Via Bonomea 263, rm 138
This is going to be an informal seminar on a current work in progress on the possibility of studying the Ising model using non-local fields on the complex plane. The mapping applies to more general models but we discuss the O(1) for simplicity. We introduce an exact mapping between fields indexed in N with functions on the complex plane - which does not require a continuous limit. The binary character of the Ising model is enforced via an interaction with an auxiliary field whose coupling is the temperature. This is going to be a whiteboard talk, and we focus in particular where to go from here, and the drawbacks and the advantages of using this approach. We show in particular the connection to a U(1) Group Field Theory, a certain parameter scaling limit for the perturbation theory, and end with a discussion on future work: the connection to random matrix theory for the study of glasses in this limit and discuss the constructive approach for this theory.
Based on: https://arxiv.org/abs/1908.08065
Based on: https://arxiv.org/abs/1908.08065