Testing the RG-flow M (3, 10) + ϕ 1, 7 → M (3, 8) with Hamiltonian Truncation

Delouche, Olivier; Miró, Joan Elias; Ingoldby, James

Abstract

Hamiltonian Truncation (HT) methods provide a powerful numerical approach for investigating strongly coupled QFTs. In this work, we develop HT techniques to analyse a specific Renormalization Group (RG) flow recently proposed in refs. [1, 2–3]. These studies put forward Ginzburg-Landau descriptions for the conformal minimal models M(3, 10) and M(3, 8), as well as the RG-flow connecting them. Specifically, the RG-flow is defined by deforming the M(3, 10) with the relevant primary operator ϕ1, 7 (whose indices denote its position in the Kac table), yielding M(3, 10) + ϕ1, 7. From the perspective of HT, realising such an RG-flow presents significant challenges, as the ϕ1, 7 deformation requires renormalizing the UV theory up to third order in the coupling constant of the deformation. In this study, we carry out the necessary calculations to formulate HT for this theory and numerically investigate the spectrum of M(3, 10) + ϕ1, 7 in the large coupling regime, finding strong evidence in favor of the proposed flow.

Citation

Delouche, O., Miró, J. E., & Ingoldby, J. (2025). Testing the RG-flow M (3, 10) + ϕ 1, 7 → M (3, 8) with Hamiltonian Truncation. Journal of High Energy Physics, 2025(4), Article 144. https://doi.org/10.1007/jhep04%282025%29144

• Journal Article Type: Article
• Acceptance Date: Mar 15, 2025
• Online Publication Date: Apr 17, 2025
• Publication Date: 2025-04
• Deposit Date: May 12, 2025
• Publicly Available Date: May 12, 2025
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2025
• Issue: 4
• Article Number: 144
• DOI: https://doi.org/10.1007/jhep04%282025%29144
• Keywords: Effective Field Theories, Field Theories in Lower Dimensions, Nonperturbative Effects, Renormalization and Regularization
• Public URL: https://durham-repository.worktribe.com/output/3803962