Sharp phase transition in the grand canonical $\Phi^3$ measure at critical chemical potential

Nikolay Barashkov; Kihoon Seong; Philippe Sosoe

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arXiv · 2508.08427

Sharp phase transition in the grand canonical $\Phi^3$ measure at critical chemical potential

Nikolay Barashkov·Kihoon Seong·Philippe Sosoe

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Abstract

We study the phase transition and critical phenomenon for the grand canonical $\Phi^3$ measure in two-dimensional Euclidean quantum field theory. The study of this measure was initiated by Jaffe, Bourgain, and Carlen--Fr\"ohlich--Lebowitz, primarily in regimes far from criticality. We identify a critical chemical potential and show that the measure exhibits a sharp phase transition at this critical threshold. At the critical threshold, the analysis is based on establishing the correlation decay of the Gaussian fluctuations in the partition function, combined with a coarse-graining argument to show divergence of the maximum of an approximating Gaussian process.

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BibTeX RIS

Nikolay Barashkov, Kihoon Seong, Philippe Sosoe. 2025-08-11. Sharp phase transition in the grand canonical $\Phi^3$ measure at critical chemical potential. https://arxiv.org/abs/2508.08427

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