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Effective Hamiltonians and Counterterms for Hamiltonian Truncation
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We outline a procedure for applying Hamiltonian Truncation to Quantum Field Theories (QFTs) that have UV divergences. To do this, we derive a novel representation of an Effective Hamiltonian which makes manifest some of its important properties (e.g. the non-perturbative matching of the spectra between the UV theory and the theory described by the Effective Hamiltonian). We check the consistency of our procedure using Conformal Perturbation Theory. Finally we comment on how the Effective Hamiltonian, which incorporates non-local interactions, describes a local QFT.
Forward citations
Cited by 2 Pith papers
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Higher-order structure of Hamiltonian truncation effective theory
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.
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Systematic Improvement of Hamiltonian Truncation Effective Theory
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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