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arXiv · 2412.09459

Temperature-Resistant Order in 2+1 Dimensions

Zohar Komargodski·Fedor K. Popov
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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.

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Zohar Komargodski, Fedor K. Popov. 2024-12-12. Temperature-Resistant Order in 2+1 Dimensions. https://arxiv.org/abs/2412.09459

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