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The physical meaning of the Belinfante-Rosenfeld ambiguity

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Ioannis Matthaiakakis

High Energy Physics - Theory · Submitted 25 Mar 2026

abstract compiled · 2026-09-28 · no language-model review

The authors' main claim This allows us to physically interpret the BR ambiguity as the choice of splitting a conserved current into its matter and gauge field contributions.

how it is stated · asserted 0.99 read the record →

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arXiv ID2603.24660 (version 2)
Pith IDXO73QEWZ, Pith's permanent record of this paper and its review
CitationIoannis Matthaiakakis. "The physical meaning of the Belinfante-Rosenfeld ambiguity." arXiv:2603.24660 (2026). https://pith.science/paper/XO73QEWZ
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-28: 1 request, 4,221 input tokens.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.11 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.14 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

Current literature lacks consensus on how to theoretically describe spin polarization and its transport in matter. The underlying reason is the presence of the Belinfante-Rosenfeld (BR) ambiguity in the form of the energy-momentum and spin tensors. I re-examine the BR ambiguity in Einstein-Cartan spacetimes, using the bi-form formalism in a manner applicable to any conserved current and its corresponding gauge field. This allows us to physically interpret the BR ambiguity as the choice of splitting a conserved current into its matter and gauge field contributions. We argue this follows from Noether's second theorem and show that certain examples of BR ambiguities reduce to large gauge transformations.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Current literature lacks consensus on how to theoretically describe spin polarization and its transport in matter. gap 0.63 0.04 0.02 asserted 1.00
s1 The underlying reason is the presence of the Belinfante-Rosenfeld (BR) ambiguity in the form of the energy-momentum and spin tensors. background 0.81 0.07 0.05 asserted 1.00
s2 I re-examine the BR ambiguity in Einstein-Cartan spacetimes, using the bi-form formalism in a manner applicable to any conserved current and its corresponding gauge field. method 0.68 0.94 0.08 asserted 0.99
s3 This allows us to physically interpret the BR ambiguity as the choice of splitting a conserved current into its matter and gauge field contributions. interpretation 0.99 0.88 0.83 asserted 0.99
s4 We argue this follows from Noether's second theorem and show that certain examples of BR ambiguities reduce to large gauge transformations. result 0.63 0.89 0.19 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.97 · evidence from proof or derivation 0.90.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Current literature lacks consensus on how to theoretically describe spin polarization and its transport in matter. The underlying reason is the presence of the Belinfante-Rosenfeld (BR) ambiguity in the form of the energy-momentum and spin tensors. I re-examine the BR ambiguity in Einstein-Cartan spacetimes, using the bi-form formalism in a manner applicable to any conserved current and its corresponding gauge field. This allows us to physically interpret the BR ambiguity as the choice of splitting a conserved current into its matter and gauge field contributions. We argue this follows from Noether's second theorem and show that certain examples of BR ambiguities reduce to large gauge transformations.

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