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Dynamically Broken U(1) `Left' Gauge Theories in Four Dimensions

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B. Machet

High Energy Physics - Theory · Submitted 20 Oct 1993

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The anomaly disappears and the gauge current is conserved.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/9310127 (version 1)
Pith IDCAK2K65W, Pith's permanent record of this paper and its review
CitationB. Machet. "Dynamically Broken U(1) `Left' Gauge Theories in Four Dimensions." arXiv:hep-th/9310127 (1993). https://pith.science/paper/CAK2K65W
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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,935 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.38 · human participants 0.01 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.31 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We study a dynamically broken U(1) "left" gauge theory endowed with a composite scalar doublet (one scalar and one pseudoscalar); its Lagrangian only differs from that of an abelian `Standard Model' by the addition of a derivative coupling between a Wess-Zumino field, linked to the previous scalars, and the fermionic current. Yet, in the Feynman path integral, the non independence of the fermionic and scalar variables of integration requires the introduction of constraints. When the gauge symmetry is broken by the vacuum expectation value of the scalar field, they freeze all degrees of freedom but those of a massive gauge field, including a (abelian) pion. The anomaly disappears and the gauge current is conserved. This is shown, and renormalizability studied, in the `Nambu-Jona-Lasinio approximation'. Unitarity is demonstrated on general grounds.

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 We study a dynamically broken U(1) "left" gauge theory endowed with a composite scalar doublet (one scalar and one pseudoscalar); its Lagrangian only differs from that of an abelian `Standard Model' by the addition of a derivative coupling between a Wess-Zumino field, linked to the previous scalars, and the fermionic current. contribution 0.99 0.71 0.08 asserted 0.98
s1 Yet, in the Feynman path integral, the non independence of the fermionic and scalar variables of integration requires the introduction of constraints. method 0.68 0.57 0.04 asserted 1.00
s2 When the gauge symmetry is broken by the vacuum expectation value of the scalar field, they freeze all degrees of freedom but those of a massive gauge field, including a (abelian) pion. result 0.98 0.77 0.23 asserted 1.00
s3 The anomaly disappears and the gauge current is conserved. result 1.00 0.78 0.35 asserted 1.00
s4 This is shown, and renormalizability studied, in the `Nambu-Jona-Lasinio approximation'. method 0.91 0.88 0.10 asserted 0.99
s5 Unitarity is demonstrated on general grounds. result 0.74 0.86 0.11 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

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  • full text
  • figures and tables
  • references and citing sentences
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  • S sections
  • T body sentences
  • C citations
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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

We study a dynamically broken U(1) "left" gauge theory endowed with a composite scalar doublet (one scalar and one pseudoscalar); its Lagrangian only differs from that of an abelian `Standard Model' by the addition of a derivative coupling between a Wess-Zumino field, linked to the previous scalars, and the fermionic current. Yet, in the Feynman path integral, the non independence of the fermionic and scalar variables of integration requires the introduction of constraints. When the gauge symmetry is broken by the vacuum expectation value of the scalar field, they freeze all degrees of freedom but those of a massive gauge field, including a (abelian) pion. The anomaly disappears and the gauge current is conserved. This is shown, and renormalizability studied, in the `Nambu-Jona-Lasinio approximation'. Unitarity is demonstrated on general grounds.

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