Spectrum continuity and level repulsion: the Ising CFT from infinitesimal to finite $\boldsymbol\varepsilon$ - Archive ouverte HAL
Article Dans Une Revue Journal of High Energy Physics Année : 2023

Spectrum continuity and level repulsion: the Ising CFT from infinitesimal to finite $\boldsymbol\varepsilon$

Johan Henriksson
  • Fonction : Auteur
Stefanos R. Kousvos
  • Fonction : Auteur

Résumé

Using numerical conformal bootstrap technology we perform a non-perturbative study of the Ising CFT and its spectrum from infinitesimal to finite values of $\varepsilon=4-d$. Exploiting the recent navigator bootstrap method in conjunction with the extremal functional method, we test various qualitative and quantitative features of the $\varepsilon$-expansion. We follow the scaling dimensions of numerous operators from the perturbatively controlled regime to finite coupling. We do this for $\mathbb Z_2$-even operators up to spin 12 and for $\mathbb Z_2$-odd operators up to spin 6 and find a good matching with perturbation theory. In the finite coupling regime we observe two operators whose dimensions approach each other and then repel, a phenomenon known as level repulsion and which can be analyzed via operator mixing. Our work improves on previous studies in both increased precision and the number of operators studied, and is the first to observe level repulsion in the conformal bootstrap.

Dates et versions

hal-03752047 , version 1 (16-08-2022)

Identifiants

Citer

Johan Henriksson, Stefanos R. Kousvos, Marten Reehorst. Spectrum continuity and level repulsion: the Ising CFT from infinitesimal to finite $\boldsymbol\varepsilon$. Journal of High Energy Physics, 2023, 02, pp.218. ⟨10.1007/JHEP02(2023)218⟩. ⟨hal-03752047⟩
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