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Hamiltonian Truncation Crafted for UV-divergent QFTs

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arxiv 2312.09221 v3 pith:F25CB5QU submitted 2023-12-14 hep-th cond-mat.stat-mechhep-lathep-ph

Olivier Delouche , Joan Elias Miro , James Ingoldby This is my paper · ORCID
classification hep-thcond-mat.stat-mechhep-lathep-ph
keywords theorydeformeddiagramexamplesflowshamiltonianphaseqfts
verification ladder T0 review T1 audit T2 compute T3 formal
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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 $Z_2$-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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Higher-order structure of Hamiltonian truncation effective theory

    hep-ph 2026-02 conditional novelty 6.0 of 10

    All-order local and O(Emax⁻⁴) non-local corrections are derived for Hamiltonian truncation effective theory of 2D λφ⁴; numerically, NNLO barely improves on NLO.

  2. Hamiltonian Truncation of Large $N_f$ QED and Large $N$ Vector-like Theories in $d=2+1$

    hep-th 2025-07 accept novelty 6.0 of 10

    A lightcone Hamiltonian method diagonalizes large-N vector-like gauge theories in 2+1 dimensions exactly, giving explicit eigenstates, spectral densities, and scattering amplitudes.

  3. Systematic Improvement of Hamiltonian Truncation Effective Theory

    hep-th 2025-07 conditional novelty 6.0 of 10

    NLO matching corrections with nonlocal terms are computed for 1+1D λφ⁴ Hamiltonian truncation, and the eigenvalue error is shown to scale as 1/Emax⁴, confirming the effective theory power counting.

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