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Temperature-Resistant Order in 2+1 Dimensions

2024/12/12 by Zohar Komargodski, Komargodski, Zohar, Fedor K. Popov +1 · 4 citations
Materials Science · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quasicrystal Structures and Properties #Strongly Correlated Electrons (cond-mat.str-el) #X-ray Diffraction in Crystallography

paper · pdf · doi:10.48550/arxiv.2412.09459

openalex publication_date 2024/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ℤ2 → ∅ 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.

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