Belinfante-Rosenfeld Symmetrization from Metric-Affine Conservation Laws: Hypermomentum as the Improvement Term -- The Cases of QED and QCD

[2607.11322] Belinfante-Rosenfeld Symmetrization from Metric-Affine Conservation Laws: Hypermomentum as the Improvement Term -- The Cases of QED and QCD Skip to main content Search Submit Donate Log in High Energy Physics - Theory arXiv:2607.11322 (hep-th) [Submitted on 13 Jul 2026 ( v1 ), last revised 25 Aug 2026 (this version, v2)] Title: Belinfante-Rosenfeld Symmetrization from Metric-Affine Conservation Laws: Hypermomentum as the Improvement Term -- The Cases of QED and QCD Authors: Damianos Iosifidis View PDF HTML (experimental) Abstract: We derive the Belinfante--Rosenfeld symmetrization procedure from the metric-affine conservation law by means of an affine lift of flat-spacetime field theories. Following minimal coupling to an independent affine connection, variation of the action with respect to the connection defines the hypermomentum current. Taking the flat-spacetime limit of the resulting conservation law, we recover the Belinfante--Rosenfeld relation, with the divergence of the hypermomentum current reproducing the Belinfante improvement term. We thoroughly study the form of the couplings with this property and their physical significance. The construction is illustrated for Quantum Electrodynamics and Quantum Chromodynamics. Comments: 15 pages, no figures, matches published version Subjects: High Energy Physics - Theory (hep-th) ; General Relativity and Quantum Cosmology (gr-qc) Cite as: arXiv:2607.11322 [hep-th] (or arXiv:2607.11322v2 [hep-th] for this version) https://doi.org/10.48550/arXiv.2607.11322 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Damianos Iosifidis [ view email ] [v1] Mon, 13 Jul 2026 09:39:02 UTC (30 KB) [v2] Tue, 25 Aug 2026 07:57:48 UTC (31 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: hep-th < prev | next > new | recent | 2026-07 Change to browse by: gr-qc References & Citations INSPIRE HEP SciX 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? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) 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)

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