Hamiltonian truncation crafted for UV-divergent QFTs

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

Abstract

We develop the theory of Hamiltonian Truncation (HT) to systematically study RG flows that require the renormalization of coupling constants. This is a necessary step towards making HT a fully general method for QFT calculations. We apply this theory to a number of QFTs defined as relevant deformations of d=1+1 CFTs. We investigated three examples of increasing complexity: The deformed Ising, Tricritical-Ising, and non-unitary minimal model M(3,7). The first two examples provide a crosscheck of our methodologies against well established characteristics of these theories. The M(3,7) CFT deformed by its Z2-even operators shows an intricate phase diagram that we clarify. At a boundary of this phase diagram we show that this theory flows, in the IR, to the M(3,5) CFT.

Citation

Delouche, O., Elias Miro, J., & Ingoldby, J. (2024). Hamiltonian truncation crafted for UV-divergent QFTs. SciPost Physics, 16, Article 105. https://doi.org/10.21468/scipostphys.16.4.105

• Journal Article Type: Article
• Acceptance Date: Mar 26, 2024
• Online Publication Date: Apr 19, 2024
• Publication Date: Apr 19, 2024
• Deposit Date: Jul 11, 2024
• Publicly Available Date: Jul 11, 2024
• Journal: SciPost Physics
• Print ISSN: 2542-4653
• Electronic ISSN: 2542-4653
• Publisher: SciPost
• Peer Reviewed: Peer Reviewed
• Volume: 16
• Article Number: 105
• DOI: https://doi.org/10.21468/scipostphys.16.4.105
• Public URL: https://durham-repository.worktribe.com/output/2524965