Tightening energy-based boson truncation bound using Monte Carlo-assisted methods

[2604.24896] Tightening energy-based boson truncation bound using Monte Carlo-assisted methods Skip to main content Search Submit Donate Log in High Energy Physics - Lattice arXiv:2604.24896 (hep-lat) [Submitted on 27 Apr 2026 ( v1 ), last revised 28 Aug 2026 (this version, v4)] Title: Tightening energy-based boson truncation bound using Monte Carlo-assisted methods Authors: Jinghong Yang , Christopher F. Kane , Shabnam Jabeen View PDF HTML (experimental) Abstract: Quantum simulation offers a promising framework for quantum field theory calculations. Obtaining reliable results, however, requires careful characterization of systematic uncertainties. One important source is the boson truncation error, which arises from representing infinite-dimensional local Hilbert spaces with finite-dimensional ones. Previous studies have examined this problem from several perspectives. In particular, Jordan, Lee, and Preskill ( arXiv:1111.3633 ) derived an energy-based bound applicable to generic low-energy states across a broad class of field theories. However, this approach often yields overly conservative bounds, especially at large volumes. In this work, we introduce a new methodology that significantly tightens the energy-based boson truncation bound through two complementary advances: an improved analytic derivation and a Monte Carlo-based numerical procedure. We demonstrate the method in (1+1)-dimensional scalar field theory and (2+1)-dimensional U(1) gauge theory in the dual formalism. Our approach substantially mitigates the volume dependence of the required truncation cutoff, achieving reductions nearly proportional to the volume in some cases and to the square root of the volume in others. Comments: 20 pages + 8 page Appendices, 13 figures. Match accepted version Subjects: High Energy Physics - Lattice (hep-lat) ; Quantum Physics (quant-ph) Cite as: arXiv:2604.24896 [hep-lat] (or arXiv:2604.24896v4 [hep-lat] for this version) https://doi.org/10.48550/arXiv.2604.24896 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Phys. Rev. D 114, 034517 (2026) Related DOI : https://doi.org/10.1103/9yly-8dy7 Focus to learn more DOI(s) linking to related resources Submission history From: Jinghong Yang [ view email ] [v1] Mon, 27 Apr 2026 18:22:45 UTC (218 KB) [v2] Thu, 14 May 2026 02:28:19 UTC (285 KB) [v3] Tue, 19 May 2026 00:46:21 UTC (285 KB) [v4] Fri, 28 Aug 2026 03:43:03 UTC (287 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: hep-lat < prev | next > new | recent | 2026-04 Change to browse by: quant-ph References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

Related documents

• Tightening energy-based boson truncation bound using Monte Carlo-assisted methods#682660
• Inverse problem in the LaMET framework#1142536
• Drell-Yan lepton pair production from low to high transverse momentum#1157517
• Effective field theory interpretation of ATLAS measurements involving the Higgs boson, electroweak bosons and the top quark#1145788
• Computation of the one-loop spectral QCD running coupling using covariant spectral regularization#1132429