Abstract:
The study of finite-size scaling in systems at and above their upper critical dimension, particularly concerning the breaking of the hyperscaling relation. For models in the Ising universality class Renormalisation Group (RG) arguments—such as those by Brézin and Zinn-Justin (1978) on the susceptibility profile and the work by Flores-Sola, Berche, Kenna and Weigel (2016) on role of the other Fourier models—provided key predictions for this behaviour. In my talk, I will discuss theorems that verify these predictions based on a rigorous RG argument.
Biography:
Dr. Jiwoon Park obtained his Ph.D. degree in Mathematics from the University of Cambridge, advised by Roland Bauerschmidt. His research area is the mathematical theory of statistical fields on a lattice, which is in the intersection of probability theory and mathematical physics. His work aims to provide a rigorous understanding of critical phenomena and scaling behaviour in lattice field theories. Specifically, he has been working on the application of the renormalisation group method to the 2D discrete Gaussian model and the φ4 model in d ≥ 4.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.