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Mass Generation, Ghost Condensation and Broken Symmetry: SU(2) in Covariant Abelian Gauges

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Martin Schaden

High Energy Physics - Theory · Submitted 7 Aug 2001

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

The authors' main claim A global SL(2,R) symmetry of the model is spontaneously broken by ghost-antighost condensation at arbitrarily small coupling.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/0108034 (version 1)
Pith IDVAJF6X34, Pith's permanent record of this paper and its review
CitationMartin Schaden. "Mass Generation, Ghost Condensation and Broken Symmetry: SU(2) in Covariant Abelian Gauges." arXiv:hep-th/0108034 (2001). https://pith.science/paper/VAJF6X34
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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, 4,317 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.35 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.05 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

The local action of an SU(2) gauge theory in general covariant Abelian gauges and the associated equivariant BRST symmetry that guarantees the perturbative renormalizability of the model are given. A global SL(2,R) symmetry of the model is spontaneously broken by ghost-antighost condensation at arbitrarily small coupling. This leads to propagators that are finite at Euclidean momenta for all elementary fields except the Abelian ``photon''. Ward Identities show that the symmetry breaking gives rise to massless BRST-quartets with ghost numbers (1,2,-2,-1) and (0,1,-1,0). The latter quartet is interpreted as due to an Abelian Higgs mechanism in the dual description of the model.

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 The local action of an SU(2) gauge theory in general covariant Abelian gauges and the associated equivariant BRST symmetry that guarantees the perturbative renormalizability of the model are given. contribution 0.87 0.77 0.07 asserted 0.99
s1 A global SL(2,R) symmetry of the model is spontaneously broken by ghost-antighost condensation at arbitrarily small coupling. result 0.98 0.82 0.51 asserted 1.00
s2 This leads to propagators that are finite at Euclidean momenta for all elementary fields except the Abelian ``photon''. result 1.00 0.83 0.24 asserted 1.00
s3 Ward Identities show that the symmetry breaking gives rise to massless BRST-quartets with ghost numbers (1,2,-2,-1) and (0,1,-1,0). result 0.99 0.84 0.20 asserted 1.00
s4 The latter quartet is interpreted as due to an Abelian Higgs mechanism in the dual description of the model. interpretation 1.00 0.77 0.18 asserted 0.95

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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  • references and citing sentences
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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

The local action of an SU(2) gauge theory in general covariant Abelian gauges and the associated equivariant BRST symmetry that guarantees the perturbative renormalizability of the model are given. A global SL(2,R) symmetry of the model is spontaneously broken by ghost-antighost condensation at arbitrarily small coupling. This leads to propagators that are finite at Euclidean momenta for all elementary fields except the Abelian ``photon''. Ward Identities show that the symmetry breaking gives rise to massless BRST-quartets with ghost numbers (1,2,-2,-1) and (0,1,-1,0). The latter quartet is interpreted as due to an Abelian Higgs mechanism in the dual description of the model.

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Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

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