Beyond Renormalization: Natural Regularization of Quantum Divergences through E-QFT Systematic Comparison Demonstrating the Absence of a Need for Renormalization in Emergent Quantum Field Theory

Beyond Renormalization: Natural Regularization of Quantum Divergences through E-QFT Systematic Comparison Demonstrating the Absence of a Need for Renormalization in Emergent Quantum Field Theory | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 28 April 2025 V1 Latest version Share on Beyond Renormalization: Natural Regularization of Quantum Divergences through E-QFT Systematic Comparison Demonstrating the Absence of a Need for Renormalization in Emergent Quantum Field Theory Author : Lionel Barreiro 0009-0000-1474-7699 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.174585831.18231195/v1 197 views 110 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract This document demonstrates, through rigorous numerical analysis, how Emergent Quantum Field Theory (E-QFT) naturally resolves the fundamental problem of infinite divergences that require renormalization in standard QFT. Thanks to the non-factorizable structure of its global Hilbert space H G, E-QFT introduces an intrinsic regularization that emerges from the fundamental principles of the theory, without artificial parameters. We present systematic comparisons between the two approaches for five critical cases of divergences (logarithmic, quadratic, and infrared), revealing a decisive mathematical and conceptual advantage of E-QFT, particularly striking for the hierarchy problem related to the Higgs boson mass correction. Supplementary Material File (renormalisation_eqft.pdf) Download 1.17 MB Information & Authors Information Version history V1 Version 1 28 April 2025 Copyright This work is licensed under a Creative Commons Attribution 4.0 International License Keywords emergent quantum field theory (e-qft) hierarchy problem higgs boson mass correction infrared divergences non-factorizable hilbert space qft renormalization quantum divergences quantum field theory topological quantum fields ultraviolet divergences Authors Affiliations Lionel Barreiro 0009-0000-1474-7699 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 197 views 110 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Lionel Barreiro. Beyond Renormalization: Natural Regularization of Quantum Divergences through E-QFT Systematic Comparison Demonstrating the Absence of a Need for Renormalization in Emergent Quantum Field Theory. Authorea . 28 April 2025. 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