PIRSA:25050011

Temperature-Resistant Order in 2+1 Dimensions

Popov, F. (2025). Temperature-Resistant Order in 2+1 Dimensions. Perimeter Institute. https://pirsa.org/25050011

Popov, Fedor. Temperature-Resistant Order in 2+1 Dimensions. Perimeter Institute, May. 13, 2025, https://pirsa.org/25050011 

          @misc{ pirsa_PIRSA:25050011,
            doi = {10.48660/25050011},
            url = {https://pirsa.org/25050011},
            author = {Popov, Fedor},
            keywords = {Other, Quantum Fields and Strings},
            language = {en},
            title = {Temperature-Resistant Order in 2+1 Dimensions},
            publisher = {Perimeter Institute},
            year = {2025},
            month = {may},
            note = {PIRSA:25050011 see, \url{https://pirsa.org}}
          }

Fedor Popov Stony Brook University

Talk numberPIRSA:25050011
DOI10.48660/25050011
Collection
Talk Type Scientific Series
Subject

Abstract

High temperatures are typically thought to increase disorder. Here we examine this idea in Quantum Field Theory in 2+1 dimensions. For this sake we explore a novel class of tractable models, consisting of nearly-mean-field scalars interacting with critical scalars. We identify UV-complete, local, unitary models in this class and show that symmetry breaking $\mathbb{Z}_2 \to \emptyset$ occurs at any temperature in some regions of the phase diagram. This phenomenon, previously observed in models with fractional dimensions, or in the strict planar limits, or with non-local interactions, is now exhibited in a local, unitary 2+1 dimensional model with a finite number of fields.