Effective Hamiltonians and Counterterms for Hamiltonian Truncation

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 betw...

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Bibliographic Details
Published inarXiv.org
Main Authors Joan Elias Miro, Ingoldby, James
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 15.06.2023
Subjects
Perturbation theory
Physics - High Energy Physics - Lattice
Physics - High Energy Physics - Phenomenology
Physics - High Energy Physics - Theory
Physics - Statistical Mechanics
Quantum theory
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2212.07266