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arXiv · 2603.27031

The Lee-Yang model and its generalizations through the lens of long-range deformations

Fanny Eustachon
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Abstract

In two dimensions, the non-unitary class of conformal minimal models, $\mathcal{M}(2,2m+1)$, has been recently conjectured to arise as renormalization-group fixed points of scalar field theories with complex $i\varphi^{2m-1}$ interaction, $m\in \mathbb{N}$, $m\ge2$. We test a variation of this conjecture through the perturbative study of two separate long-range constructions based on respectively the minimal model and its potential Landau-Ginzburg formalism. For $m>2$, inconsistencies are found when subsequently relating both constructions. In contrast, the long-range Lee-Yang model, the $m=2$ case, is shown to be analogue to the long-range Ising model.

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Fanny Eustachon. 2026-03-27. The Lee-Yang model and its generalizations through the lens of long-range deformations. https://arxiv.org/abs/2603.27031

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